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Sato Yuzuru
| Research Institute for Electronic Science Green Nanotechnology Research Center | Associate Professor |
| Center for Human Nature Artificial Intelligence and Neuroscience | Associate Professor |
| Research Center of Mathematics for Social Creativity | Associate Professor |
Researcher basic information
■ Degree■ URL
researchmap URLホームページURL■ Various IDs
Researcher number
- 30342794
Research Keyword
- Nonlinear phenomena
- Non-autonomous dynamical systems
- Stochastic bifurcation
- Noise-induced phenomena
- Stochastic chaos
- Random dynamical systems
- Complex systems
- Spatio-temporal chaos
- Fluctuation and noise
- Chaos
- Dynamical systems
- Natural Science, Applied mathematics and statistics
- Natural Science, Mathematical physics and fundamental theory of condensed matter physics
- Informatics, Kansei informatics
- Informatics, Soft computing
- Bachelor's degree program, School of Science
- Master's degree program, Graduate School of Science
- Doctoral (PhD) degree program, Graduate School of Science
Career
■ CareerCareer
- Sep. 2013 - Present
London Mathematical Laboratory, External Fellow - 2006 - Present
Hokkaido University, RIES/Department of Mathematics, Associate professor - 2002 - 2006
Santa Fe Institute, Postdoctoral Fellow - 2001 - 2002
RIKEN, Special Postdoctoral Researcher - 2000 - 2001
University of Tokyo / JSPS, Postdoctoral researcher
Research activity information
■ Awards- Sep. 2013, London Mathematical Laboratory, LML External Fellowship
Yuzuru Sato - Jun. 1998, Santa Fe Institute, Complex Systems Summer School Fellowship
Yuzuru Sato
- Minimal model for reservoir computing
Yuzuru Sato; Miki U. Kobayashi
Physica D: Nonlinear Phenomena, Dec. 2024
Scientific journal - Designing robust trajectories by lobe dynamics in low-dimensional Hamiltonian systems
Naoki Hiraiwa; Mai Bando; Isaia Nisoli; Yuzuru Sato
Physical Review Research, 24 May 2024
Scientific journal - Transition to anomalous dynamics in a simple random map
Jin Yan; Moitrish Majumdar; Stefano Ruffo; Yuzuru Sato; Christian Beck; Rainer Klages
Chaos: An Interdisciplinary Journal of Nonlinear Science, 01 Feb. 2024
Scientific journal - Noise-induced degeneration in online learning
Yuzuru Sato; Daiji Tsutsui; Akio Fujiwara
Physica D: Nonlinear Phenomena, 430, 133095, 133095, Elsevier BV, Feb. 2022, [Peer-reviewed], [Lead author]
Scientific journal - Existence of multiple noise-induced transitions in Lasota–Mackey maps
Takumi Chihara; Yuzuru Sato; Isaia Nisoli; Stefano Galatolo
Chaos: An Interdisciplinary Journal of Nonlinear Science, 32, 1, 013117, 013117, AIP Publishing, Jan. 2022, [Peer-reviewed], [Corresponding author]
Scientific journal - Permutations uniquely identify states and unknown external forces in non-autonomous dynamical systems
Yoshito Hirata; Yuzuru Sato; Davide Faranda
Chaos, 30, 10, 103103, 103103, {AIP} Publishing, 01 Oct. 2020, [Peer-reviewed]
Scientific journal - Asymptotic estimates of SARS-CoV-2 infection counts and their sensitivity to stochastic perturbation
Davide Faranda; Isaac Pérez Castillo; Oliver Hulme; Aglaé Jezequel; Jeroen S.W. Lamb; Yuzuru Sato; Erica L. Thompson
Chaos, 30, 5, 051107, 051107, {AIP} Publishing, 01 May 2020, [Peer-reviewed]
Scientific journal - Minimal dynamical systems model of the Northern Hemisphere jet stream via embedding of climate data
Davide Faranda; Yuzuru Sato; Gabriele Messori; Nicholas R. Moloney; Pascal Yiou
Earth System Dynamics, 10, 3, 555, 567, 19 Sep. 2019, [Peer-reviewed]
Scientific journal - Anomalous diffusion in random dynamical systems
Yuzuru Sato; Rainer Klages
Physical Review Letters, 122, 17, 174101, 29 Apr. 2019, [Peer-reviewed]
Scientific journal - An overview of the extremal index
Nicholas R. Moloney; Davide Faranda; Yuzuru Sato
Chaos, 29, 2, 022101, 01 Feb. 2019, [Peer-reviewed]
Scientific journal - Intermittent transition between synchronization and desynchronization in multi-regional business cycles
Kunihiko Esashi; Tamotsu Onozaki; Yoshitaka Saiki; Yuzuru Sato
Structural Change and Economic Dynamics, 44, 68, 76, 01 Mar. 2018, [Peer-reviewed]
English, Scientific journal - Stochastic Chaos in a Turbulent Swirling Flow
D. Faranda; Y. Sato; B. Saint-Michel; C. Wiertel; V. Padilla; B. Dubrulle; F. Daviaud
Physical Review Letters, 119, 1, 014502, 07 Jul. 2017, [Peer-reviewed]
English, Scientific journal - A random dynamical systems perspective on stochastic resonance
Anna Maria Cherubini; Jeroen S.W. Lamb; Martin Rasmussen; Yuzuru Sato
Nonlinearity, 30, 7, 2835, 2853, 07 Jun. 2017, [Peer-reviewed]
English, Scientific journal - Stochastic chaos in random dynamical systems
Yuzuru Sato
RIMS Technical Report, No.2028, pp.1-8, 2017 - The switching between zonal and blocked mid-latitude atmospheric circulation: a dynamical system perspective
Davide Faranda; Giacomo Masato; Nicholas Moloney; Yuzuru Sato; Francois Daviaud; Bérengère Dubrulle; Pascal Yiou
Climate Dynamics, 47, 5-6, 1587, 1599, 01 Sep. 2016, [Peer-reviewed]
English, Scientific journal - Information flow in learning a coin-tossing game
Sato Yuzuru; Ay Nihat
IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 7, 2, 118, 125, 2016, [Peer-reviewed]
English - Neural field dynamics for growing brains
Sato Yuzuru; Shimaoka Daisuke; Fujimoto Koichi; Taga Gentaro
IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 7, 2, 226, 233, 2016, [Peer-reviewed]
English - Robust pattern construction in two-dimensional neural field
Yuzuru Sato
Proc. of AFCA, pp.85-89, 2015, [Peer-reviewed] - The switching between zonal and blocked mid-latitude atmospheric circulation: a dynamical system perspective
Davide Faranda; Giacomo Masato; Nicholas Moloney; Yuzuru Sato; Francois Daviaud; Berengere Dubrulle; Pascal Yiou
Climate Dynamics, pp, 1-13, 2015, [Peer-reviewed] - ランダム力学系と確率カオス
佐藤譲
数理科学 2015年8月号, 26, 31, 2015
Japanese - Random basin in dice roll
Y. Sato; N. Matsunaga
RIMS Technical Report, 1942, 1, 10, 2015 - Computability and Complexity of Julia Sets: a review
Kota Hiratsuka; Yuzuru Sato; Zin Arai
NOLTA, 5, 4, 410, 423, 2014, [Peer-reviewed]
English, Scientific journal - Random dynamical systems modeling for brain wave synchrony
Kazuhiro Matsumoto; Yuzuru Sato; Hiroshi Endo; Keiichi Kitajo
Proc. of NOLTA, 2013, 395, 398, 2013, [Peer-reviewed]
English - Robust computation in two dimensional neural field
Yuzuru Sato; Shun-ichi Amari
Advances in Cognitive Neurodynamics, 123, 129, 2013, [Peer-reviewed]
English - Computability and Complexity of Julia Sets
Kota Hiratsuka; Yuzuru Sato; Zin Arai
Proc. of NOLTA, 2013, 2, 5, 2013, [Peer-reviewed]
English - Random dynamics from time series
Yuzuru Sato
RIMS Technical Report, 1827, 24, 32, 2012 - Random dynamics from time-serieses of physiological rhythms.
Yuzuru Sato; Kazuhiro Matsumoto
Proc. of NOLTA, 2012, 497, 500, 2012, [Peer-reviewed]
English - Sensitivity to initial conditions, entropy production, and escape rate at the onset of chaos
Miguel Angel Fuentes; Yuzuru Sato; Constantino Tsallis
Physics Letters, Section A: General, Atomic and Solid State Physics, 375, 33, 2988, 2991, 01 Aug. 2011, [Peer-reviewed]
English, Scientific journal - Traveling bumps and their collisions in a two-dimensional neural field
Yao Lu; Yuzuru Sato; Shun Ichi Amari
Neural Computation, 23, 5, 1248, 1260, May 2011, [Peer-reviewed]
English, Scientific journal - Random dynamics from time-seriese of rotating fluid
Yuzuru Sato; Makoto Iima; Yuji Tasaka
Hokkaido University Technical Report, 979, 2011 - A time-series analysis of the free-surface motion of rotational flow
Makoto Iima; Yu Iijima; Yuzuru Sato; Yuji Tasaka
Theoretical and Applied Mechanics Japan, 59, 187, 193, 2011, [Peer-reviewed]
Scientific journal - Noise-induced phenomena in one-dimensional maps
Sato Yuzuru
RIMS Kokyuroku, 1688, 137, 143, Kyoto University, May 2010
Japanese - Influence of a rotor-cylinder gap on irregular surface switching of rotating fluids
TASAKA Yuji; IIMA Makoto; SATO Yuzuru
日本流体力学会年会2010拡張要旨集, 2010, 243, 243, 日本流体力学会, 2010
Japanese, This study clarifies the influence of disturbance generated in the fluid layer between the rotor-cylinder gap on irregular surface switching, which is a temporally irregular change of the free surface shapes in rotating fluids. Two acrylic rotors, which have a different diameter, were used to change the magnitude of thedisturbance. Spatio-temporal velocity measurement and analyses showed that generation of the intermittent deformation of the free surface, which is the trigger of the surface switching, depends on the disturbance level; the rotor that provides larger disturbance increases occurrence frequency of the Laminar-Turbulent Switching. - オートマトンモデルの背景
佐藤譲
現代思想「現代数学の思考法」, 2010年9月号, 155, 163, 2010
Japanese - Noise-induced phenomena in one-dimensional maps
SATO Yuzuru
IEICE technical report, 109, 269, 221, 223, The Institute of Electronics, Information and Communication Engineers, Nov. 2009
Japanese, Noise-induced phenomena in unimodal maps are re-investigated and a new phenomenon numerically observed in logistic map and Belousov-Zhabotinsky map (BZ map) with presence of additive noise is reported. We found that (i) noise-induced chaos and noise-induced order coexist depending on size of fluctuation of noise, and that (ii) these phenomena are robustly observed in the window region of BZ map, indicated by numerically calculated Lyapunov exponents. A physically tractable framework for random dynamical systems is discussed to study observability of potentially chaotic systems. - Experimental and mathematical analysis of rotating flow in a cylinder with large surface deformation
Iima Makoto; Tasaka Yuji; Sato Yuzuru; Mayama Hiroyuki
日本流体力学会年会2008講演論文集, 2008, 54, 54, 日本流体力学会, 2008
Japanese, We study aperiodic switching phenomenon of the surface shape of rotating flow in an open cylinder driven by constant rotation of the bottom (surface switching). First, the dependency of bottom materials on the critical Reynolds numbers are studied. Second, we succeed in reproducing qualitative switching behavior by a one-dimensional map with noise whose amplitude depends on the surface height. - ルールを生成する力学系: 関数マップ概説
佐藤譲
統計数理研究所共同研究リポート, 217, 33, 44, 2008
Japanese - Random Dynamics from Time Seriese of Rotating Fluid
Yuzuru Sato; Makoto Iima; Yuji Tasaka
Proceedings of JSIAM 08, 317, 318, 2008
English, International conference proceedings - On the extensivity of the entropy S
q for N ≤ 3 specially correlated binary subsystems
Yuzuru Sato; Constantino Tsallis
International Journal of Bifurcation and Chaos, 16, 6, 1727, 1738, Jun. 2006, [Peer-reviewed]
English, Scientific journal - Asymptotically scale-invariant occupancy of phase space makes the entropy S
q extensive
Constantino Tsallis; Murray Gell-Mann; Yuzuru Sato
Proceedings of the National Academy of Sciences of the United States of America, 102, 43, 15377, 15382, 25 Oct. 2005, [Peer-reviewed]
English, Scientific journal - Stability and diversity in collective adaptation
Yuzuru Sato; Eizo Akiyama; James P. Crutchfield
Physica D: Nonlinear Phenomena, 210, 1-2, 21, 57, 01 Oct. 2005, [Peer-reviewed]
English, Scientific journal - Extensivity and entropy production
Constantino Tsallis; Murray Gell-Mann; Yuzuru Sato
Europhysics News, 36, 6, 186, 189, 2005, [Peer-reviewed]
English - Undecidability in the Imitation Game
Yuzuru Sato; Takashi Ikegami
Minds and Machines, 14, 2, 133, 143, May 2004, [Peer-reviewed]
English, Scientific journal - 多体学習のダイナミクス
佐藤譲
2000年4月号, 76, 82, 2004
Japanese - Coupled replicator equations for the dynamics of learning in multiagent systems
Y Sato; JP Crutchfield
PHYSICAL REVIEW E, 67, 1, 015206, Jan. 2003, [Peer-reviewed]
English, Scientific journal - Coupled replicator equations for the dynamics of learning in multiagent systems
Yuzuru Sato; James P. Crutchfield
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 67, 1 2, 152061, 152064, Jan. 2003, [Peer-reviewed], [Lead author]
Scientific journal - Weaverのコミュニケーションの問題と情報理論
佐藤譲
統計数理研究所共同研究リポート, 171, 55, 57, 2003
Japanese - Chaos in learning a simple two-person game
Y Sato; E Akiyama; JD Farmer
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 99, 7, 4748, 4751, Apr. 2002, [Peer-reviewed]
English, Scientific journal - 学習のダイナミクス
佐藤譲
統計数理研究所共同研究リポート, 163, 77, 87, 2002
Japanese - On the power of nonlinear mappings in switching map systems
Y Sato; M Taiji; T Ikegami
UNCONVENTIONAL MODELS OF COMPUTATION UMC' 2K, PROCEEDINGS, 234, 247, 2001, [Peer-reviewed]
English, International conference proceedings - 計算のダイナミクス
佐藤譲
統計数理研究所共同研究リポート, 144, 1, 8, 2001
Japanese - Resonance between Noise and Delay
OHIRA Toru; SATO Yuzuru
Butsuri, 55, 5, 360, 363, The Physical Society of Japan (JPS), 05 May 2000
Japanese, 「ノイズ」と通信や相互作用の「遅れ」は多くのシステムに存在し,複雑な挙動を引き起こす.ここではそのような複雑な挙動の理解への一つの方向として,ノイズと遅れを用いた共鳴現象を示す単純なモデルを紹介する.その性質を調べることにより,情報処理系において通常障害と考えられている「ノイズ」と「遅れ」を活用する方向を模索する. - Resonance in a stochastic neuron model with delayed interaction
R Ohira; Y Sato; JD Cowan
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 12, 12, 314, 320, 2000, [Peer-reviewed]
English, International conference proceedings - Nonlinear Computation with Switching Map Systems.
Yuzuru Sato; Takashi Ikegami
J. UCS, 6, 9, 881, 905, 2000, [Peer-reviewed]
Scientific journal - Computation with switching map systems
Yuzuru Sato; Takashi Ikegami
Journal of Universal Computer Sciences, Vol. 6, No. 9, 881-894, 905, 2000, [Peer-reviewed]
Scientific journal - NP-completeness of kSAT and multifractals
Y Sato; M Taiji; T Ikegami
COMPUTER PHYSICS COMMUNICATIONS, 121, 51, 53, Sep. 1999, [Peer-reviewed]
English, Scientific journal - Resonance with noise and delay
Toru Ohira; Yuzuru Sato
Physical Review Letters, 82, 14, 2811, 2815, 1999, [Peer-reviewed]
English, Scientific journal - Undecidability of the Imitation Game
Yuzuru Sato; Takashi Ikegami
Proceedings of Symposium on Imitation in Animals and Artifacts, 157, 159, 1999, [Peer-reviewed]
English - Self-similar sets as satisfiable Boolean expressions
Y Sato; M Taiji; T Ikegami
UNCONVENTIONAL MODELS OF COMPUTATION, 352, 370, 1998, [Peer-reviewed]
English, International conference proceedings
- Noise-induced degeneration in online learning
Yuzuru Sato; Daiji Tsutsui; Akio Fujiwara, PHYSICA D-NONLINEAR PHENOMENA, 430, Feb. 2022
English - Existence of multiple noise-induced transitions in Lasota-Mackey maps
Takumi Chihara; Yuzuru Sato; Isaia Nisoli; Stefano Galatolo, CHAOS, 32, 1, 01 Jan. 2022
English - Stochastic bifurcation in a turbulent swirling flow
佐藤譲, 日本応用数理学会年会講演予稿集(CD-ROM), 2019, 487, 21 Aug. 2019
English - Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps
Yuzuru Sato; Kathrin Padberg-Gehle, 08 May 2019
Noise-induced statistical periodicity in a class of one-dimensional maps is
studied. We show the existence of statistical periodicity in a modified
Lasota-Mackey map and describe the phenomenon in terms of almost cyclic sets. A
transition from a stable state to a periodic state of the density depending on
the noise level is observed in numerical investigations based on trajectory
averages and by means of a transfer operator approach. We conclude that the
statistical periodicity is the origin of the almost periodicity in
noise-induced order., Technical report - Dynamical characterization of stochastic bifurcations in a random logistic map
Yuzuru Sato; Thai Son Doan; Jeroen S; W. Lamb; Martin Rasmussen, 10 Nov. 2018
The emergence of noise-induced chaos in a random logistic map with bounded
noise is understood as a two-step process consisting of a topological
bifurcation flagged by a zero-crossing point of the supremum of the dichotomy
spectrum and a subsequent dynamical bifurcation to a random strange attractor
flagged by a zero crossing point of the Lyapunov exponent. The associated three
consecutive dynamical phases are characterized as a random periodic attractor,
a random point attractor, and a random strange attractor, respectively. The
first phase has a negative dichotomy spectrum reflecting uniform attraction to
the random periodic attractor. The second phase no longer has a negative
dichotomy spectrum - and the random point attractor is not uniformly attractive
- but it retains a negative Lyapunov exponent reflecting the aggregate
asymptotic contractive behaviour. For practical purposes, the extrema of the
dichotomy spectrum equal that of the support of the spectrum of the finite-time
Lyapunov exponents. We present detailed numerical results from various
dynamical viewpoints, illustrating the dynamical characterisation of the three
different phases., Technical report - Random Basin in Dice Roll (The Theory of Random Dynamical Systems and its Applications)
Sato Yuzuru; Matsunaga Nobuo, RIMS Kokyuroku, 1942, 1, 10, Apr. 2015
Kyoto University, Japanese - Random dynamics from time series (Collective Dynamics in Dynamical Systems : Across the border of preserving and dissipative systems)
Sato Yuzuru, RIMS Kokyuroku, 1827, 24, 32, Mar. 2013
Kyoto University, Japanese - 27pBF-1 Statistical Periodicity in Noised one-dimensional maps
Sato Yuzuru, Meeting abstracts of the Physical Society of Japan, 67, 1, 381, 381, 05 Mar. 2012
The Physical Society of Japan (JPS), Japanese - 25pPSA-30 Dynamics of Mcintyre-Schumacher-Woodhouse Model
Aoki Yuko; Iwamoto Sho; Sato Yuzuru, Meeting abstracts of the Physical Society of Japan, 67, 1, 331, 331, 05 Mar. 2012
The Physical Society of Japan (JPS), Japanese - 23aEL-9 Noise-induced phenomena in one-dimensional maps
Sato Yuzuru, Meeting abstracts of the Physical Society of Japan, 65, 1, 351, 351, 01 Mar. 2010
The Physical Society of Japan (JPS), Japanese - 22pZB-2 Nonlincar Computation II
Sato Yuzuru, Meeting abstracts of the Physical Society of Japan, 55, 1, 199, 199, 10 Mar. 2000
The Physical Society of Japan (JPS), Japanese
■ Lectures, oral presentations, etc.
- Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
17th Japan-Slovenia Seminar on Nonlinear Science, Mar. 2022, English, Invited oral presentation
[Invited] - Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
Dynamical systems and its applications, Feb. 2022, English, Oral presentation - Existence of multiple noise-induced transitions in Lasota-Mackey map
Yuzuru Sato
Hokkaido Summer Institute on Computational Ergodic Theory, Sep. 2021, English, Invited oral presentation
[Invited] - Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
Mathematical methods for the studies of flow, shape, and dynamics, Aug. 2021, English, Invited oral presentation
[Invited] - Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
RIMS workshop on dynamical systems, Jun. 2021, Japanese, Oral presentation - Stochastic chaos in random dynamical systems and its applications
Yuzuru Sato
Mathematical Science of Complex Systems: Physics, Chemistry, Biology, Information and Chaos, Mar. 2021, Invited oral presentation
[Invited] - Noise-induced degeneration in online learning
Yuzuru Sato
Dynamical systems and machine learning, Sep. 2020, English, Oral presentation - Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
CRITICS workshop 2020, Aug. 2020, English, Invited oral presentation
[Invited] - Stochastic bifurcation and intermittency in random dynamical systems
Yuzuru Sato
RIMS workshop, Oct. 2019
[Invited] - Anomalous diffusion in random dynamical systems
Yuzuru Sato
The Mathematics of Climate and Environment, IHP, Oct. 2019, English, Invited oral presentation
[Invited], [International presentation] - Anomalous diffusion and intermittency in deterministic /random dynamical systems
Yuzuru Sato
RIMS workshop, Sep. 2019 - Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
JSIAM, Sep. 2019 - Anomalous diffusion and intermittency in random dynamical systems
Yuzuru Sato
Seminar at Tokyo Metropolitan University,, Sep. 2019 - Noise-induced Statistical Periodicity in Lasota-Mackey Maps
Yuzuru Sato
RIMS workshop, Aug. 2019 - Anomalous diffusion in random dynamical systems
Yuzuru Sato
DCP19, Jul. 2019
[Invited] - Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
ICIAM, Jul. 2019, English, Invited oral presentation
[Invited], [International presentation] - Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
RIMS workshop, Jun. 2019 - Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
Workshop on data analysis and machinelearning in dynamical systems, May 2019 - Stochastic bifurcation in a turbulent swirling flow
Yuzuru Sato
CRITICS workshop, Imperial College London, Mar. 2019
[Invited] - Stochastic chaos in random dynamical systems and its application to time series analysis
Yuzuru Sato
Seminar at University of Pisa, Oct. 2018
[Invited] - Stochastic bifurcation in random dynamical systems and its application to modeling atmospheric jet dynamics
Yuzuru Sato
“Dynamical Systems and Climate Dynamics,” LSCE/CNRS-Saclay, Oct. 2018
[Invited] - Stochastic bifurcation in random logistic map
Yuzuru Sato
Dynamics Days Europe, Sep. 2018 - Stochastic chaos in a turbulent swirling flow
Yuzuru Sato
LML summer school, London Mathematical Laboratory, Aug. 2018
[Invited] - Stochastic chaos in a turbulent swirling flow
Yuzuru Sato
MIMS seminar, Jul. 2018 - Stochastic chaos in a turbulent swirling flow
Yuzuru Sato
CIMPA spring school, Vietnam Academy of Science and Technology, Mar. 2018
[Invited] - Stochastic chaos in a turbulent swirling flow
Yuzuru Sato
Lorentz Center Workshop on Random Dynamical Systems, Dec. 2017
[Invited] - Anomalous diffusion and intermittency in random dynamical systems
Yuzuru Sato
Statistical and nonlinear physics seminar at CNRS, Nov. 2017
[Invited] - Stochastic bifurcation and early warning signals in random logistic maps
Yuzuru Sato
Predicting extremes in climate dynamics, Oct. 2017 - Anomalous diffusion and intermittency in random dynamical systems
Yuzuru Sato
workshop on nonlinearity and complexity, Sep. 2017 - Anomalous diffusion and intermittency in random dynamical systems
Yuzuru Sato
ANOCOS, Tempare, Finland, Aug. 2017
[Invited] - Anomalous diffusion and intermittency in random dynamical systems
Yuzuru Sato
seminar at Tokyo Metroplitan University, Jun. 2017 - Stochastic chaos in a turbulent swirling flow
Yuzuru Sato
RIMS workshop, Jun. 2017 - Crutchfield-Shaw information theory for noisy chaos: a review
Yuzuru Sato
RIMS workshop, Jun. 2017 - Stochastic bifurcation in random logistic maps
Yuzuru Sato
SIAM Conference on Applications of Dynamical systems, May 2017
[Invited] - Anomalous diffusion and intermittency in random dynamical systems
Yuzuru Sato
Kyoto Dynamics Days: Random Dynamical Systems Theory and Its Applications, Kyoto University, Apr. 2017
[Invited] - Noise-induced bifurcations in a random logistic map
Yuzuru Sato
Kyoto Dynamics Days: Random Dynamical Systems Theory and Its Applications, Kyoto University, Apr. 2017
[Invited] - Anomalous diffusion and intermittency in random dynamical systems
Yuzuru Sato
JSIAM, Mar. 2017 - Stochastic bifurcation in random logistic maps
Yuzuru Sato
Keno Dynamics Days, Jan. 2017 - Stochastic bifurcation in random logistic maps
Yuzuru Sato
Applications of statical-mechanics and dynamical systems to climate, LSCE, CEA, CNRS, Nov. 2016
[Invited] - Anomalous diffusion in random dynamical systems,
Yuzuru Sato
Dynamics Days Latin America and the Caribbean, University of Puebla, Oct. 2016
[Invited] - Anomalous diffusion in random dynamical systems,
Yuzuru Sato
Hokkaido-Pisa Summer Institute, University of Pisa, Sep. 2016, English, Invited oral presentation
[Invited], [International presentation] - Anomalous diffusion in random dynamical systems,
Yuzuru Sato
Workshop on Anomalous Dynamics and Weak ergodicity breaking, University of Warwick, Aug. 2016
[Invited] - Chaos in function dynamics
Yuzuru Sato
RIMS workshop, Jul. 2016
[Invited] - Noise-induced statistical periodicity and almost cyclic sets
Yuzuru Sato
RIMS workshop, Jun. 2016 - Anomalous diffusion in random dynamical systems
Yuzuru Sato
Workshop on dynamical systems and computation, Mar. 2016 - Neural Field dynamics for growing brains
Yuzuru Sato
AAAS panel presentation, AAAS, Feb. 2016
[Invited] - Robust computation in neural field
Yuzuru Sato
AFCA keynote talk, CANDAR, Dec. 2015
[Invited] - Robust pattern construction in neural field
Yuzuru Sato
seminar at Kyoto University, Nov. 2015 - Chaos in random and non-autonomous dynamical systems
Yuzuru Sato
Complex systems summer school, 27 Jul. 2015, Japanese, Invited oral presentation
[Invited] - Dynamics of Neural Field
Yuzuru Sato
Seminar at University of Tokyo, 16 Mar. 2015, Japanese, Invited oral presentation
[Invited] - Random strange attractors and stochastic chaos
Yuzuru Sato
Workshop on dynamical systems and computation, 03 Mar. 2015, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - Random Strange Attractors and Stochastic Chaos
Yuzuru Sato
Dynamical Systems and Computation, Sapporo, Feb. 2015 - Random dynamical systems approaches to noise-induced phenomena
Yuzuru Sato
Seminar at University of Sussex Brighton UK, 12 Nov. 2014, English, Public discourse
[Invited], [International presentation] - Random dynamical systems approaches to noise-induced phenomena
Yuzuru Sato
Max Planck Institute, Dynamics and Self-organization, Oct. 2014
[Invited] - Random basin in dice roll
Yuzuru Sato
Workshop on Theory and Applications of Random/Nonautonomous Dynamical Systems, 08 Sep. 2014, English, Invited oral presentation
[Invited], [International presentation] - Asymmetric game dynamics and its applications
Yuzuru Sato
SAET, Aug. 2014
[Invited] - Random dynamical systems approaches to noise-induced phenomena
Yuzuru Sato
Workshop on Computation and Computability in Dynamics, Trieste, Jul. 2014
[Invited] - Random dynamics from time seiries of rotating fluids
Yuzuru Sato
Workshop on Physical Origins of Correlated Extreme Events, 10 Jun. 2014, English, Poster presentation
[International presentation] - Random dynamical systems approaches to noise-induced phenomena
Yuzuru Sato
Seminar at Loughborough University Loughborough, 22 May 2014, English, Public discourse
[Invited] - Random dynamical systems approaches to noise-induced phenomena
Yuzuru Sato
Mini Conference on Glassy and Complex Systems, 20 May 2014, English, Public discourse
[Invited] - Random dynamical systems approaches to noise-induced phenomena
Yuzuru Sato
Open Statistical Physics, 26 Mar. 2014, English, Oral presentation - Random dynamical systems approaches to noise-induced phenomena
Yuzuru Sato
Dynamical Systems, Fluid Dynamics and Lagrangian Coherent Structures, 05 Mar. 2014, English, Invited oral presentation
[Invited], [International presentation] - Random dynamical systems approaches to noise-induced phenomena
Yuzuru Sato
ランダム力学系理論とその応用 京都府京都市, 21 Feb. 2014, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - Random basin in dice roll
Yuzuru Sato
ランダム力学系理論とその応用, 19 Feb. 2014, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - Stability and diversity in collective adaptation
Yuzuru Sato
Seminar at Manchester University, 12 Feb. 2014, English, Public discourse
[Invited] - Real number computation and dynamical systems
Yuzuru Sato
Dynamical systems and computation, 14 Jan. 2014, English, Invited oral presentation
[Invited], [International presentation] - Random dynamics from time series
Yuzuru Sato
SIAM Conference on Applications of Dynamical systems, 19 May 2013, English, Invited oral presentation
[Invited], [International presentation] - Noise-induced phenomena in one-dimensional maps
Yuzuru Sato
Seminar at Hitotsubashi University, Apr. 2013, Japanese, Public discourse
[Invited], [Domestic Conference] - Asymmetric game dynamics and its applications
Yuzuru Sato
Seminar at King’s College London, 01 Apr. 2013, English, Public discourse
[Invited] - Randomness in noised dynamical systems
Yuzuru Sato
Ergodic theory, information theory and computer sciences, 01 Apr. 2013, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - Partial Control of Chaos and Continuity of Safe Sets
G. Wang; Y. Sato
Dynamics Days US, 07 Jan. 2013, English, Poster presentation
[International presentation] - Randomness of Perturbed Dice Throw Dynamics
N. Matsunaga; Y. Sato
Dynamics Days US, 03 Jan. 2013, English, Poster presentation
[International presentation] - Random Dynamics from a Time Series of Physiological Rhythms
Yuzuru Sato
NOLTA2012, 23 Oct. 2012, English, Invited oral presentation
[Invited] - Asymmetric game dynamics and its applications
Yuzuru Sato
CICS Colloquium, Universidad del Desarrollo, 08 Oct. 2012, English, Public discourse
[Invited] - Random dynamical systems approaches to noise-induced phenomena
Yuzuru Sato
Summer Workshop on Artificial Minds and Real Brains, 02 Aug. 2012, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - Noise-induced phenomena and their applications
Yuzuru Sato
Workshop on Open dynamical systems: Ergodic Theory, Probabilistic Methods and Applications, BIRS Banff Canada, 08 Apr. 2012, English, Invited oral presentation
[Invited], [International presentation] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Seminar at Soongsil University Seoul, Korea, 01 Apr. 2012, English, Public discourse
[Invited], [Domestic Conference] - Noise-induced phenomena and their applications: interaction between deterministic chaos and stochastic randomness
Yuzuru Sato
Nonlinear Science Colloquium at Waseda University, 01 Apr. 2012, Japanese, Public discourse
[Invited], [Domestic Conference] - Noise-induced phenomena and their applications: interaction between deterministic chaos and stochastic randomness
Yuzuru Sato
International workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry, 06 Mar. 2012, English, Invited oral presentation
[Invited], [International presentation] - Random dynamics from time-series and its applications
Yuzuru Sato
NOLTA2011, 07 Sep. 2011, English, Invited oral presentation
[Invited] - Noise-induced phenomena in one-dimensional maps
Yuzuru Sato
Weak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics, 01 Aug. 2011, English, Invited oral presentation - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Kyoto interdisciplinary Dynamics Seminar, 15 Jul. 2011, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - Robust Computation in Two-dimensional Neural Field
Yuzuru Sato
The 3rd International Conference on Cognitive Neurodynamics, 09 Jun. 2011, English, Invited oral presentation
[Invited] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
SIAM Conference on Applications of Dynamical systems, 22 May 2011, English, Invited oral presentation
[Invited], [International presentation] - Asymmetric game dynamics and its extensions
Yuzuru Sato
Game theory workshop, Nagoya, May 2011
[Invited] - Random nonlinear phenomena and its applications
Yuzuru Sato
Yakushima Workshop, 01 Apr. 2011, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Seminar at Department of Applied Mathematics at the University of Colorado at Boulder, 01 Apr. 2011, English, Public discourse
[Invited] - Asymmetric game dynamics and its extensions
Yuzuru Sato
Game theory workshop, 17 Mar. 2011, Japanese, Invited oral presentation
[Domestic Conference] - Noise-induced statistical periodicity and its applications
Yuzuru Sato
Dynamics of Complex Systems, 07 Mar. 2011, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - 回転流体系における自由表面の不規則スイッチング現象の決定論性の推定
飯島 悠宇; 田坂 裕司; 佐藤 讓; 飯間 信
2010年度応用数学合同研究集会, 18 Dec. 2010, Japanese, Public discourse
[Domestic Conference] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
NIMS Hot Topics Workshop on Applied Dynamical Systems, 11 Dec. 2010, English, Invited oral presentation
[Invited] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Max-Planck Institute, Mathematics in the Sciences, 10 Dec. 2010, English, Public discourse
[Invited] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Kagoshima workshop on nonlinear and Nonequilibrium dynamics, 03 Oct. 2010, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
RIKEN Mathematical Science Workshop, 19 Sep. 2010, English, Invited oral presentation
[Invited] - Robust computation in activation-inhibition field
Yuzuru Sato
The 9th international conference on unconventional computation, 21 Jun. 2010, English, Invited oral presentation
[Invited] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Niseko workshop on mathematical biology, 01 Apr. 2010, Japanese, Invited oral presentation
[Invited] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
日本物理学会, 20 Mar. 2010, Japanese, Oral presentation - Noise-induced phenomena in one dimensional maps: hidden fragility in nonlinear dynamics
Yuzuru Sato
Sapporo winter school on nonlinear science, 17 Feb. 2010, English, Invited oral presentation
[Invited] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
NIMS Hot Topics, Workshop on Applied Dynamical Systems “Dynamics in Network and Mathematical Neuroscience,” NIMS, Feb. 2010
[Invited] - Stability and diversity in collective adaptation
Yuzuru Sato
Chaos revolution in Science, 13 Dec. 2009, English, Invited oral presentation
[Invited], [International presentation] - Statistics and dynamical analysis of surface switching in rotating fluid
Y. Tasaka; M. Iima; Y. Sato
16th International Couette-Taylor Workshop Princeton, 09 Sep. 2009, English, Invited oral presentation
[International presentation] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Dynamics of Complex Systems, 31 Aug. 2009, Japanese, Invited oral presentation
[Invited] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Biology and Control, SICE, May 2009
[Invited] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Behavior and Logic of Cellular Systems, RIKEN, 09 Apr. 2009, Japanese, Invited oral presentation
[Invited] - High-dimensional chaotic dynamics in an N-person game
Yuzuru Sato
Seminar at Kyushu University, 01 Apr. 2009, Japanese, Public discourse
[Invited] - Noise-induced phenomena in one dimensional maps
Yuzuru Sato
Workshop: Fluctuation and Noise in Living Organisms, RIKEN, 01 Apr. 2009, Japanese, Invited oral presentation
[Invited] - Chaos in function dynamics
Yuzuru Sato
Seminar at GCOE workshop, Kobe University, 01 Apr. 2009, Japanese, Public discourse
[Invited] - Random Dynamics from Time Serieses of Rotating Fluid
Yuzuru Sato
応用数理学会, 17 Sep. 2008, Japanese, Oral presentation - Random Dynamics from Time Serieses of Rotating Fluid
Yuzuru Sato
ynamics Days Asia-Pacific, 09 Sep. 2008, English, Invited oral presentation
[Invited] - Random Dynamics from Time Serieses of Rotating Fluid
Yuzuru Sato
Dynamics of Complex systems, 01 Sep. 2008, English, Invited oral presentation
[Invited] - Limit of Analog Computation
Yuzuru Sato
Seminar at University of Tokyo, Apr. 2008, English, Public discourse
[Invited] - Re-visiting Noise-induced Order
Yuzuru Sato
Artificial Life: Half-way through, Apr. 2008, Japanese, Oral presentation - Noise-induced Phenomena in one-dimensional maps
Yuzuru Sato
Seminar at ASI, RIKEN, Apr. 2008, Japanese, Public discourse - Function Dynamics: An Introductory Review
Yuzuru Sato
動的システムの情報論VII, 30 Nov. 2007, Japanese, Oral presentation - Heteroclinic Cycles in N-person Game Dynamics
Yuzuru Sato
inisymposium at SIAM Conference on Application of Dynamical Systems Snowbird, Utah USA, 28 May 2007, English, Invited oral presentation
[Invited] - N-person Game Dynamics
Yuzuru Sato
Seminar at Santa Fe Institute, 01 Apr. 2007, English, Public discourse
[Invited] - Stability and Diversity in Collective Adaptation
Yuzuru Sato
Seminar at Department of Physical Chemistry Fritz Haber Institute, 01 Apr. 2006, English, Public discourse - Stability and Diversity in Collective Adaptation
Yuzuru Sato
Long-term workshop at Isaac Newton Institute, Cambridge, England, UK, Sep. 2005, English, Poster presentation
[Invited] - patiotemporal Intermittency and its Application to Problems of Memory and Learning
Yuzuru Sato
Seminar at JAIST, 2005, Japanese, Public discourse
[Invited], [Domestic Conference] - Dynamics of learning in Rock-Scissors-Paper game
Yuzuru Sato
Seminar at KNU Daegu, Korea, 2005, English, Public discourse
[Invited] - Spatiotemporal Intermittency and its Application to Problems of Memory and Learning
Yuzuru Sato
Seminar at Santa Fe Institute, Santa Fe, New Mexico, USA, 2005, English, Public discourse
[Invited] - Stability and Diversity in Collective Adaptation
Yuzuru Sato
Seminar at Santa Fe Institute, Santa Fe, New Mexico, USA, 2004, English, Public discourse
[Invited], [Domestic Conference] - Dynamics of Learning and Flows of Information in Collectives
Yuzuru Sato
Dynamics Days Europe XXIII, Palma de Mallorca, Spain, 27 Sep. 2003, English, Poster presentation
[Invited], [International presentation] - Dynamics of Analog Computation
Yuzuru Sato
Philosophy of Computation, 2003, Japanese, Invited oral presentation
[Invited], [Domestic Conference] - Dynamics of coupled replicator equations
Yuzuru Sato
"Dynamics Days Europe XXII", Heiderberg, Germany, 15 Jul. 2002, English, Poster presentation
[International presentation] - Dynamics of learning and coupled replicator
Yuzuru Sato
Workshop on Dynamical Systems in Mathematical Biology, Tokyo, Japan, 30 May 2002, English, Invited oral presentation
[Invited] - Coupled replicator equations for the dynamics of learning in multiagent systems
Yuzuru Sato
Seminar at Research Unit in Language Evolution and Computation, University of Edinburgh, 2002, English, Public discourse
[Invited] - Computation with switching map systems: Nonlinearity and computational complexity
Yuzuru Sato
Seminar at Department of Applied Mathematics, Princeton University Princeton, NJ, USA, 2001, English, Public discourse
[Invited] - NP-completeness of kSAT and multifractals
Yuzuru Sato
Conference on Computational Physics, Granada, Spain, 02 Sep. 1998, English, Oral presentation
[International presentation]
- 理学データサイエンス特別講義, 2024年, 修士課程, 理学院
- 数理解析学講義, 2024年, 修士課程, 理学院
- 数理解析学講義, 2024年, 修士課程, 理学院
- 理学データサイエンス特別講義, 2024年, 修士課程, 理学院
- 大学院共通授業科目（一般科目）：自然科学・応用科学, 2024年, 修士課程, 大学院共通科目
- 微分積分学Ⅱ, 2024年, 学士課程, 全学教育
- 数理解析学続論, 2024年, 学士課程, 理学部
■ Research Themes
- ランダム力学系・非自励力学系、写像半群の力学系とフラクタル幾何学の研究
科学研究費助成事業
01 Apr. 2024 - 31 Mar. 2029
角 大輝; 佐藤 譲; 上原 崇人; 渡邉 天鵬; 井上 友喜; 矢野 孝次; イェーリッシュ ヨハネス
日本学術振興会, 基盤研究(B), 京都大学, 24K00526 - Analysis of stochastic chaos in nonlinear stochastic differential equations and its applications
Grants-in-Aid for Scientific Research
01 Apr. 2021 - 31 Mar. 2026
佐藤 譲; 角 大輝; 矢野 孝次
本研究の目的は、ランダム力学系の確率カオスを定量化し、ランダム非線形現象の理論的体系化を進めることにある。これまで各論的に研究されていた雑音誘起現象の研究を総括することにより、確率カオスを含むランダム非線形現象の現象論を構築し、実現象の時系列解析とモデリングへ応用する。今年度はとくに大自由度系に焦点を当てて研究を進めた。
またブラジルUFRJで計算エルゴード理論を専門として先駆的な研究を行っているIsaia Nisoli博士が北海道大学に滞在し、複8月にHokkaido Summer Institute "Introduction to computational ergodic theory" 、3月にRIMS共同研究「ランダム力学系と絵ルゴード理論」を開催した。研究会Dynamics Daysを7月に東京工業大学、12月に東京理科大学にて開催した。ICIAMにおいてminisymposeum"Random dynamical systems and its applications"を組織し、Maria Jose Pacifico, Alex Blumenthal, Isaia Nisoli, Eli Barkai, Jon Aaronsonを招聘して議論及び共同研究を行った。ランダム力学系と確率微分方程式で生じる確率カオスと関連する非線形確率現象を研究を進め、計算機援用証明のライブラリ開発も行った。上記研究集会において行った。2件の国際共同研究を立ち上げ、流体乱流、気象における予兆解析、といった多様な対象に関するランダム力学系理論の応用研究が進展した。
Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (B), Hokkaido University, 23K20814 - Analysis of stochastic chaos in nonlinear stochastic differential equations and its applications
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
01 Apr. 2021 - 31 Mar. 2026
佐藤 譲; 角 大輝; 矢野 孝次
Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (B), Hokkaido University, 21H01002 - Research on random real and complex dynamical systems, semigroups of holomorphic maps and fractal geometry
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
01 Apr. 2019 - 31 Mar. 2024
Sumi Hiroki
We investigated multifractal analysis of limit state functions of random dynamical systems, general theory of random holomorphic dynamical systems with non-empty kernel Julia sets, randomness-induced phenomena in unbounded random holomorphic dynamical systems, random relaxed Newton's methods and their higher dimensional analogues, the study of noise-induced phenomena of random dynamical systems of real polynomials and its applications to natural sciences, Markov random holomorphic dynamical systems and thier associated set-valued dynamical systems, ergodic properties of skew products of semi-hyperbolic rational semigroups, infinite conformal iterated function systems, dynamics of mapping class groups of Riemann surfaces, and higier-dimensional random holomorphic dynamical systems. We publised many papers with reviews, and we gave many invited talks in various countries. We also organized several conferences.
Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (B), Kyoto University, 19H01790 - ランダムな実および複素力学系、正則写像半群とフラクタル幾何学の研究
科学研究費補助金(基盤研究(B))
2019 - 2023
角 大輝
文部科学省, Competitive research funding - Theoretical study of random dynamical systems through the approach of stochastic processes
Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Research (Exploratory)
28 Jun. 2019 - 31 Mar. 2022
Yano Kouji
Among the various aspects of random dynamical systems, which are given by adding certain randomness to deterministic dynamical systems, we have paid particular attention to the similarities with various properties of Markov processes in the theory of stochastic processes, and have aimed to mathematically elucidate several particular properties of random dynamical systems that are produced by the complex interplay of the properties of the deterministic dynamical systems. In this research, we have obtained remarkable results on the arcsine and the Darling Kac laws for some random dynamical systems constructed by random choice of interval maps, the aging effects for skew Bessel processes, and the problem of resolution of the sigma fields for action evolutions into the driving noise, the infinite past noise, and the third noise.
Japan Society for the Promotion of Science, Grant-in-Aid for Challenging Research (Exploratory), Kyoto University, 19K21834 - Exploring novel information geometrical structures in classical/quantum statistical systems
Grants-in-Aid for Scientific Research
01 Apr. 2017 - 31 Mar. 2022
Fujiwara Akio
Aiming at exploring novel information geometrical structures in classical/quantum information systems, we studied the following: 1) Theory of quantum local asymptotic normality, 2) Extensions of Chentsov's theorem, 3) Dually flattenable structures of monotone quantum metrics, 4) Information geometry of randomized quantum tomography, 5) Noise induced plateau phenomena in on-line machine learning, 6) Experimental demonstration of adaptive quantum state estimation theory.
Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (B), Osaka University, 17H02861 - Stochastic chaos in random dynamical systems
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
01 Apr. 2018 - 31 Mar. 2021
Sato Yuzuru
Based on experimental time series analysis and modeling for large scale nonlinear phenomena, we quantitatively studied physical properties of stochastic chaos and contribute to studies on nonlinear stochastic phenomena systematically. Integrating former studies on noise-induced phenomena, we produce a phenomenology on noise-induced phenomena and apply it to real physical systems. The achieved results is as follows. (1) Expanding knowledge on noise-induced phenomena and stochastic bifurcation and give a computer-assisted proof on multiple noise-induced transitions. (2) We found stochastic chaos in fluid flow turbulence and climate dynamics through experimental time series analysis and modeling. (3) Random dynamical system approaches to machine learning and other algorithms and their concrete applications are shown.
Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C), Hokkaido University, 18K03441 - 確率過程論的アプローチによるランダム力学系の理論研究
挑戦的研究(萌芽)
2019 - 2021
矢野孝次
文部科学省, Competitive research funding - 古典および量子統計的システムにおける新規な情報幾何構造の探究
科学研究費補助金(基盤研究(B))
2017 - 2021
藤原彰夫
文部科学省, Competitive research funding - ランダム力学系理論に基づく確率カオスの現象論とその応用
科学研究費補助金(基盤研究(C))
2018 - 2020
佐藤譲
文部科学省, Principal investigator, Competitive research funding - Developmental dynamics of human brain from pattern formation to generation of behaviors
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S)
30 May 2014 - 31 Mar. 2019
Taga Gentaro; WATANABE hama; SAJI ryoya
We aimed to elucidate the dynamics of early development from morphogenesis of human brain to action generation. Three-dimensional information of the brain was extracted from MR microscopic images, CT images and serial tissue section images of embryos and fetal specimens to clarify basic phenomena of morphogenesis. We found an index named hPod that shows the development of blood oxygenation dynamics and the spontaneous activity of the brain in the fNIRS measurements of newborns and infants. fNIRS and EEG measurements with infants also revealed the basic properties of functional networks and sensory processing that change with sleep or awakening states. We proposed theoretical frameworks and models to understand the origin of spontaneous brain activity, co-dependent development of neural activity and cortical folding, and hybrid dynamics of reaction-diffusion systems and neural networks.
Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (S), The University of Tokyo, 26220004 - ヒト脳の形態形成から行動生成に至る発達のダイナミクス
科学研究費補助金(基盤研究(S))
2014 - 2019
多賀 厳太郎
文部科学省, Competitive research funding - Stochastic bifurcation in low-dimensional spaces
Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows
09 Nov. 2015 - 31 Mar. 2018
佐藤 譲; DOAN THAI SON
ノイズと決定論的力学の相互作用に伴う雑音誘起現象は非線形物理学では古くから研究されてきた問題です。雑音誘起現象とは、決定論力学系の自然測度が微小ノイズにより大幅に変化し、決定論極限で観測されなかった非線形現象がノイズ存在下で観測されるようになる現象です。よく知られた雑音誘起現象である確率共鳴、ノイズ同期、雑音誘起カオスは、いずれも緩急のついた運動を引き起こす不変多様体や、カオティックサドルといった不変集合と外部ノイズとの相互作用により生じます。とくに決定論的動力学がカオス的、あるいは潜在的にカオス的である場合、非自明な確率分岐現象が生じることが知られています。本研究の目的は非線形ランダム力学系の数値解析法を開発するとともに、ランダムlogistic写像、確率Lorenz系における確率分岐構造を解析し、確率カオスの現象論を構築することにあります。本年度は特にランダムlogistic写像における確率分岐、および確率位相方程式におけるノイズ同期現象を研究しました。本研究費(繰り越し分)に基づいて、2017年4月24日-28日に京都大学において、国際研究会Kyoto Dynamics Days: Random Dynamical Systems Theory and Its Applicationsを主催し、佐藤譲とThai Son Doanが参加講演しました。Jeroen Lamb, Martin Rasmussen, Maxi Angel (Imperial College London)、Ale Jan Homburg(University of Amsterdam)らを招聘し、ランダム力学系に関する総合的な共同研究を開始しました。
Japan Society for the Promotion of Science, Grant-in-Aid for JSPS Fellows, Hokkaido University, 15F15320 - Progress of fundamentals of excursion theory and development of its novel applications
Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
01 Apr. 2014 - 31 Mar. 2018
YANO Kouji; NOBA Kei; YAMAZAKI Kazutoshi; YANO Yuko; SERA Toru; ITO Yu; HASEBE Takahiro; SAKUMA Noriyoshi; SATO Yuzuru; SUMI Hiroki
I have made with the help of collaborators new developments of excursion theory from the three viewpoints as follows. (1) We proposed a theory of generalized refracted processes coming from two spectrally negative Levy processes and obtained remarkable results about generalization of classical exit problems as well as compound Poisson approximation of the refracted processes. (2) We established a general theory of functional limit theorem via convergence of excursions and deduced homogenization limit theorem of jumping-in processes. We proposed penalisation problems with various random clocks and succeeded in establishing a profound general theory of local time penalisations. (3) We generalized a known theory of arcsine laws of occupation times for infinite ergodic transforms of mapping dynamical systems with indifferent fixed points by enhancing it to a limit theorem of joint distributions based on the theory of multiray diffusions.
Japan Society for the Promotion of Science, Grant-in-Aid for Young Scientists (B), Kyoto University, 26800058 - Amari neural field for mice brain activity
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
2014 - 2018
Sato Yuzuru; Shimaoka Daisuke; Fujimoto Koichi; Taga Gentaro
Dynamics of membrane potential in mise whole brain is studied by using Amari neural field model with non-local coupling. As neuroscience, the phenomenology of the membrane potential propagation wave seen in spontaneous activity is studied. As mathematical science, the standard model of neural fields and the space-time continuous computation theory are studied. The results are the followings: (1)We identified the structure of the networks of neural fields based on the Allen Brain Atlas database. (2)The phenomenology of the membrane potential wave seen in spontaneous activity is constructed. (3) Robustness of the propagation wave and constructivity of the pulsar of the solitary wave are shown. (4) Since the non-local coupling is mathematically equivalent to the spatial curvature of the neural fields, it is found that the spatial geometry of neural fields influences the stability and division process of the solitary waves.
Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C), Hokkaido University, Principal investigator, Competitive research funding, 26520201 - Mathematical characterization of chaotic itinerancy
Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research
01 Apr. 2014 - 31 Mar. 2017
SAIKI YOSHITAKA; ESASHI Kunihiko; ONOZAKI Tamotsu; KOBAYASHI Miki U; SATO Yuzuru; YAMADA Michio; Chian Abraham C.-L.; Das Suddhasattwa; Dock Chris B.; Miranda Rodrigo A.; Salgado-Flores Martin; Rempel Erico L.; Sander Evelyn; Wu Jin; Yorke James A.
Chaotic itinerancy is know as "Complex phenomena wandering among multi chaotic states irregularly", but does not have a certain mathematical characterization. We analyze a dynamics of a minimal model having the inevitable properties to be chaotic itinerancy. One of the models we studied was a two-dimensional torus map showing intermittency. It is expanding in x-direction and expanding or contracting in y-direction depending on the x value. We find that behind the dynamics exist the coexistence of repellers and saddles and quasi-periodic orbits. Through this study we develop a technique for calculating the Birkhoff average along a quasiperiodic orbit.
Japan Society for the Promotion of Science, Grant-in-Aid for Challenging Exploratory Research, Hitotsubashi University, 26610034 - 低次元の確率分岐の研究
特別研究員奨励費
2015 - 2017
佐藤譲
文部科学省, Principal investigator, Competitive research funding - Random dynamical systems approaches to noise-induced phenomena
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
2012 - 2014
SATO Yuzuru; SUMI Hiroki; YANO Koji
Recently multiple noise-induced transitions, statistical periodicity, noise-induced reproducibility has been discovered in a broad class of nonlinear dynamical systems. The goal of this research is to establish a theory of noise-induced phenomena and to analyze complex phenomena including stochastic chaos in random dynamical systems quantitatively. The following (1)-(3) are the main results of this research. (1) Universality of multiple noise-induced transitions, statistical periodicity,noise-induced reproducibility has been confirmed numerically. (2) Experimental time series analysis for human brain wave and dice roll, and their modeling with random dynamical systems have been studied. (3) Stochastic resonance and noise-induced chaos are formalized in terms of bifurcation theory. Statistical periodicity is analyzed in terms of ergodic theory.
Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C), Hokkaido University, Principal investigator, Competitive research funding, 24540390 - Research on random complex dynamics and the dynamics of semigroups of holomorphic maps
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
2012 - 2014
SUMI Hiroki; SATO Yuzuru
I investigated the random dynamics of rational maps and the dynamics of semigroups of rational maps on the Riemann sphere. I showed that regarding random complex dynamics of polynomials, generically, the chaos of the averaged system disappears at any point in the Riemann sphere, due to the automatic cooperation of the generators. I investigated the iteration and spectral properties of transition operators acting on the space of (Hoelder) continuous functions on the Riemann sphere. I showed that the set of stable systems is open and dense in the space of random dynamical systems of polynomials. Also, I investigated the limit state functions. By taking a partial derivative of the function of probability of tending to a minimal set with respect to a probability parameter, I introduced a complex analogue of the Takagi function. I am developing multifractal analysis for limit state funtions and the complex analogue of the Takagi function.
Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C), Osaka University, Coinvestigator not use grants, Competitive research funding, 24540211 - Extension of standard game dynamics and its applications
Grants-in-Aid for Scientific Research(基盤研究(C))
2009 - 2011
Yuzuru SATO
We extend the standard game dynamics to N-person game dynamics, Markov game dynamics, and continuous game dynamics and study them in terms of dynamical systems theory. (1) N-person game dynamics : The model is described as coupled map lattice and globally coupled maps, and shows complex nonlinear behavior such as traveling waves, spatiotemporal chaos, spatiotemporal intermittency. (2) Markov game dynamics : Players are modeled not by probability distributions, but by simple Markov systems. We analyze them dynamical systems theoretically and information theoretically. (3) Continuous game dynamics : Mixed strategies for continuous actions are modeled as probability density functions and a PDE model is constructed.
Ministry of Education, Culture, Sports, Science and Technology, 基盤研究(C), 北海道大学, Principal investigator, Competitive research funding, 21500210 - 力学系的視点に基づく計算理論の再構築
科学研究費補助金(特別研究員奨励費)
1999 - 2000
佐藤 譲
文部科学省, 特別研究員奨励費, 東京大学, Principal investigator, Competitive research funding, 99J09352
Social Contribution Activities
- Open campus Hokkaido University
2006 - Present
Lecturer, Planner, Organizing member
Hokkaido University
Open campus Hokkaido University - 滞在型研究所での研究活動とその成果
11 Jul. 2018
Panelist, Lecturer
東北大学
紐帯の織り手：ネットワーク形成の極意とアカデミアの役割 - Neural field dynamics in growing brains
2016 - 2016
Panelist
AAAS
AAAS - Chaos and randomness
2016 - 2016
Lecturer
JSPSサイエンス・ダイアログ - Newtonian mechanics
2014 - 2014
Lecturer
London Mathematical Laboratory
Summer project for secondary school students at London Japanese School
- New mechanism of stagnation in machine learning
Dec. 2021
Myself
北海道大学
https://www.hokudai.ac.jp/news/pdf/211221_pr2.pdf, [Internet] - Uncertainty in prediction of SARS-Cov-2 infected population
Oct. 2020
Myself
北海道大学
https://www.hokudai.ac.jp/news/pdf/201030_pr2.pdf, [Internet] - Mechanism of anomalous diffusion in random dynamical systems
May 2019
Myself
北海道大学
https://www.hokudai.ac.jp/news/190514pr.pdf, [Internet] - Stochastic chaos in turbulence
Jul. 2017
Myself
北海道大学
https://www.hokudai.ac.jp/news/170710pr.pdf, [Internet]
