Synchronization and control of nonlinear dynamical systems by noisy forcing

2009 Fiscal Year Final Research Report

• Project/Area Number: 19760253
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Communication/Network engineering
• Research Institution: Kyoto University
• Principal Investigator: NAKAO Hiroya Kyoto University, 大学院・理学研究科, 助教 (40344048)
• Project Period (FY): 2007 – 2009
• Keywords: 非線形理論 / 回路

Research Abstract

It is known that nonlinear dynamical systems exhibiting autonomous nonlinear oscillations tend to improve their output reproducibility or synchronize with each other when driven by common temporally fluctuating inputs instead of constant inputs. To understand this phenomenon, detailed theoretical analysis was performed using the methods of nonlinear dynamics and stochastic processes, in particular, the phase reduction theory for limit-cycle oscillators. Theoretical results were quantitatively verified using experimental electronic circuits exhibiting nonlinear oscillations.

Research Products

• [Journal Article] Self-organizing timing allocation mechanism in distributed wireless sensor networks (2009)
  • Author(s): Hisa-aki Tanaka, Hiroya Nakao, Kenta Shinohara
  • Journal Title: IEICE Electronic Express (ELEX) 6 Pages: 1562-1568
• [Journal Article] Collective dynamical response of coupled oscillators with any network structure (2009)
  • Author(s): Hiroshi Kori, Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Yoshiki Kuramoto
  • Journal Title: Phys. Rev. E 80 Pages: 036207(1-9)
• [Journal Article] 解説「非線形振動子の位相縮約理論とその応用」 (2009)
  • Author(s): 中尾裕也
  • Journal Title: システム/制御/情報 53 Pages: 316-322
• [Journal Article] Stochastic phase reduction for a general class of noisy limit cycle oscillators (2009)
  • Author(s): Jun-nosuke Teramae, Hiroya Nakao, G. Bard Ermentrout
  • Journal Title: Phys. Rev. Lett. 102 Pages: 194102(1-4)
• [Journal Article] Diffusion-induced instability and chaos in random oscillator networks (2009)
  • Author(s): Hiroya Nakao, Alexander S. Mikhailov
  • Journal Title: Phys. Rev. E 79 Pages: 036214(1-5)
• [Journal Article] Experimental synchronization of circuit oscillations induced by common telegraph noise (2009)
  • Author(s): Ken Nagai, Hiroya Nakao
  • Journal Title: Phys. Rev. E 79 Pages: 036205(1-6)
• [Journal Article] Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses (2008)
  • Author(s): Kensuke Arai, Hiroya Nakao
  • Journal Title: Phys. Rev. E 78 Pages: 066220(1-8)
• [Journal Article] Collective phase sensitivity (2008)
  • Author(s): Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, Yoshiki Kuramoto
  • Journal Title: Phys. Rev. Lett. 101 Pages: 024101(1-4)
• [Journal Article] Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses (2008)
  • Author(s): Kensuke Arai, Hiroya Nakao
  • Journal Title: Phys. Rev. E 77 Pages: 036218(1-17)
• [Journal Article] Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators (2007)
  • Author(s): Hiroya Nakao, Kensuke Arai, Yoji Kawamura
  • Journal Title: Phys. Rev. Lett. 98 Pages: 184101(1-4)
• [Journal Article] Noise-induced turbulence in nonlocally coupled oscillators (2007)
  • Author(s): Yoji Kawamura, Hiroya Nakao, Yoshiki Kuramoto
  • Journal Title: Phys. Rev. E 75 Pages: 036209(1-17)
• [Presentation] カオス振動子の確率的な位相縮約と共通ノイズ同期現象 (2010)
  • Author(s): 秦重史, 新井賢亮, 中尾裕也
  • Organizer: 日本物理学会第65回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-23
• [Presentation] 大域結合振動子系における集団位相結合関数 (2010)
  • Author(s): 河村洋史, 中尾裕也, 新井賢亮, 郡宏, 蔵本由紀
  • Organizer: 日本物理学会第65回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-20
• [Presentation] 複雑ネットワークにおけるラプラス固有ベクトルの局在性 (2010)
  • Author(s): 中尾裕也
  • Organizer: 日本物理学会第65回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-20
• [Presentation] スケールフリーネットワーク上の結合振動子系のダイナミクス (2010)
  • Author(s): 中尾裕也
  • Organizer: ネットワークダイナミクス研究会(電子情報通信学会非線形問題研究会)
  • Place of Presentation: 上智大学
  • Year and Date: 2010-03-09
• [Presentation] Self-organization of non-uniform dynamical patterns in complex networks of diffusively coupled oscillators (2010)
  • Author(s): Hiroya Nakao
  • Organizer: Workshop: Fluctuation and noise in living organisms II
  • Place of Presentation: RIKEN (Wako), Japan
  • Year and Date: 2010-02-02
• [Presentation] Self-organization of non-uniform dynamical patterns in complex networks of diffusively coupled oscillators (2010)
  • Author(s): Hiroya Nakao
  • Organizer: Dynamics Days 2010
  • Place of Presentation: Evanston (Illinois), USA
  • Year and Date: 2010-01-06
• [Presentation] ランダム振動子ネットワークにおけるカオスとクラスタリング (2009)
  • Author(s): 中尾裕也
  • Organizer: 電子情報通信学会非線形問題研究会
  • Place of Presentation: 屋久島環境文化村センター
  • Year and Date: 2009-11-14
• [Presentation] gammaインパルスに駆動される非線形振動子の同期現象-位相ロックからノイズ同期へ- (2009)
  • Author(s): 秦重史, 中尾裕也
  • Organizer: 電子情報通信学会非線形問題研究会
  • Place of Presentation: 屋久島環境文化村センター
  • Year and Date: 2009-11-13
• [Presentation] ガウスノイズを受ける非線形振動子の位相縮約 (2009)
  • Author(s): 寺前順之介, 中尾裕也, G.B. Ermentrout
  • Organizer: 日本物理学会2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-27
• [Presentation] ランダム振動子ネットワークにおける拡散誘起不安定性とカオス (2009)
  • Author(s): 中尾裕也, A.S. Mikhailov
  • Organizer: 日本物理学会2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-27
• [Presentation] Gammaインパルスに駆動される非線形振動子の同期現象・位相ロックからノイズ同期への遷移 (2009)
  • Author(s): 秦重史, 中尾裕也
  • Organizer: 日本物理学会2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-26
• [Presentation] ランダムネットワーク上の活性・抑制因子系におけるTuringパターン (2009)
  • Author(s): 中尾裕也, A.S. Mikhailov
  • Organizer: 日本物理学会2009年秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-25
• [Presentation] 結合振動子ネットワークのダイナミクス (2009)
  • Author(s): 中尾裕也
  • Organizer: 京都大学数理解析研究所研究集会「マクロ経済動学の非線形数理」
  • Place of Presentation: 京大会館
  • Year and Date: 2009-09-11
• [Presentation] Turing patterns in network-organized activator-inhibitor systems (2009)
  • Author(s): 中尾裕也
  • Organizer: 第19回日本数理生物学会大会
  • Place of Presentation: 東京大学
  • Year and Date: 2009-09-10
• [Presentation] ランダム振動子ネットワークにおける拡散誘起不安定性とカオス (2009)
  • Author(s): 中尾裕也
  • Organizer: 京都大学数理解析研究所研究集会「双曲型力学系から大自由度力学系へ」
  • Place of Presentation: 京都大学
  • Year and Date: 2009-08-19
• [Presentation] 大域結合振動子系の集団位相感受性 (2009)
  • Author(s): 河村洋史, 中尾裕也, 新井賢亮, 郡宏, 蔵本由紀
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-29
• [Presentation] Turing patterns in random networks (2008)
  • Author(s): Hiroya Nakao, Alexander S. Mikhailov
  • Organizer: Dynamics and evolution of biological and social networks
  • Place of Presentation: Palma de Mallorca, Spain
  • Year and Date: 20080218-20080220
• [Presentation] Diffusion-induced instability and chaos in random oscillator networks (2008)
  • Author(s): 中尾裕也
  • Organizer: 機械工学における力学系理論の応用に関する研究会
  • Place of Presentation: ートフルスクエアー岐阜
  • Year and Date: 2008-12-18
• [Presentation] Turing patterns on random networks (2008)
  • Author(s): Hiroya Nakao, Alexander S. Mikhailov
  • Organizer: Bio-inspired Complex Networks in Science and Technology: From Topology to Structure and Dynamics, International Workshop and Seminar
  • Place of Presentation: Dresden, Germany
  • Year and Date: 2008-05-06
• [Presentation] The analysis of phase coherence of an ensemble of uncoupled limit-cycle oscillators via averaging of a jump-diffusion Kolmogorov equation (2007)
  • Author(s): Kensuke Arai, Hiroya Nakao
  • Organizer: 2007 International Symposium on Nonlinear Theory and its Applications
  • Place of Presentation: Vancouver, Canada
  • Year and Date: 2007-09-17
• [Remarks]
  • URL: http://www.ton.scphys.kyoto-u.ac.jp/~nakao