• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Synchronization and control of nonlinear dynamical systems by noisy forcing

Research Project

Project/Area Number 19760253
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Communication/Network engineering
Research InstitutionKyoto University

Principal Investigator

NAKAO Hiroya  Kyoto University, 大学院・理学研究科, 助教 (40344048)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,570,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥570,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,100,000 (Direct Cost: ¥1,100,000)
Keywords非線形理論 / 回路 / 非線形振動 / 同期現象 / 自己組織化 / 統計力学 / 数理工学
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.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (47 results)

All 2010 2009 2008 2007 Other

All Journal Article (19 results) (of which Peer Reviewed: 8 results) Presentation (25 results) Remarks (3 results)

  • [Journal Article] Self-organizing timing allocation mechanism in distributed wireless sensor networks2009

    • Author(s)
      Hisa-aki Tanaka, Hiroya Nakao, Kenta Shinohara
    • Journal Title

      IEICE Electronic Express (ELEX) 6

      Pages: 1562-1568

    • NAID

      130000121978

    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Journal Article] Collective dynamical response of coupled oscillators with any network structure2009

    • Author(s)
      Hiroshi Kori, Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Yoshiki Kuramoto
    • Journal Title

      Phys. Rev. E 80

    • Related Report
      2009 Final Research Report
  • [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

    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Journal Article] Stochastic phase reduction for a general class of noisy limit cycle oscillators2009

    • Author(s)
      Jun-nosuke Teramae, Hiroya Nakao, G. Bard Ermentrout
    • Journal Title

      Phys. Rev. Lett. 102

    • NAID

      120006581976

    • Related Report
      2009 Final Research Report
  • [Journal Article] Diffusion-induced instability and chaos in random oscillator networks2009

    • Author(s)
      Hiroya Nakao, Alexander S. Mikhailov
    • Journal Title

      Phys. Rev. E 79

    • NAID

      120006581963

    • Related Report
      2009 Final Research Report
  • [Journal Article] Experimental synchronization of circuit oscillations induced by common telegraph noise2009

    • Author(s)
      Ken Nagai, Hiroya Nakao
    • Journal Title

      Phys. Rev. E 79

    • NAID

      120006581962

    • Related Report
      2009 Final Research Report
  • [Journal Article] Collective dynamical response of coupled oscillators with any network structure2009

    • Author(s)
      Hiroshi Kori, Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Yoshiki Kuramoto
    • Journal Title

      Physical Review E 80

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic phase reduction for a general class of noisy limit cycle oscillators2009

    • Author(s)
      Jun-nosuke Teramae, Hiroya Nakao, G.Bard Ermentrout
    • Journal Title

      Physical Review Letters 102

    • NAID

      120006581976

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Experimental synchronization of circuit oscillations induced by common telegraph noise2009

    • Author(s)
      Ken Nagai, Hiroya Nakao
    • Journal Title

      Physical Review E 79

    • NAID

      120006581962

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses2008

    • Author(s)
      Kensuke Arai, Hiroya Nakao
    • Journal Title

      Phys. Rev. E 78

    • NAID

      120006581944

    • Related Report
      2009 Final Research Report
  • [Journal Article] Collective phase sensitivity2008

    • Author(s)
      Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, Yoshiki Kuramoto
    • Journal Title

      Phys. Rev. Lett. 101

    • NAID

      120006581910

    • Related Report
      2009 Final Research Report
  • [Journal Article] Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses2008

    • Author(s)
      Kensuke Arai, Hiroya Nakao
    • Journal Title

      Phys. Rev. E 77

    • NAID

      120006581885

    • Related Report
      2009 Final Research Report
  • [Journal Article] Collective phase sensitivity2008

    • Author(s)
      Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, and Yoshiki Kuramoto
    • Journal Title

      Physical Review Letters 101

    • NAID

      120006581910

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses2008

    • Author(s)
      Kensuke Arai, Hiroya Nakao
    • Journal Title

      Physical Review E 78

    • NAID

      120006581944

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses2008

    • Author(s)
      Kensuke Arai and Hiroya Nakao
    • Journal Title

      Physical Review E (印刷中)

    • NAID

      120006581885

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators2007

    • Author(s)
      Hiroya Nakao, Kensuke Arai, Yoji Kawamura
    • Journal Title

      Phys. Rev. Lett. 98

    • NAID

      120006581826

    • Related Report
      2009 Final Research Report
  • [Journal Article] Noise-induced turbulence in nonlocally coupled oscillators2007

    • Author(s)
      Yoji Kawamura, Hiroya Nakao, Yoshiki Kuramoto
    • Journal Title

      Phys. Rev. E 75

    • NAID

      120006581815

    • Related Report
      2009 Final Research Report
  • [Journal Article] Noise-induced turbulence in nonlocally coupled oscillators2007

    • Author(s)
      Yoji Kawamura, Hiroya Nakao, and Yoshiki Kuramoto
    • Journal Title

      Physical Review E 75

      Pages: 362091-17

    • NAID

      120006581815

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators2007

    • Author(s)
      Hiroya Nakao, Kensuke Arai, and Yoji Kawamura
    • Journal Title

      Physical Review Letters 98

      Pages: 1841011-4

    • NAID

      120006581826

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Annual Research Report
  • [Presentation] Self-organization of non-uniform dynamical patterns in complex networks of diffusively coupled oscillators2010

    • 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
    • Related Report
      2009 Final Research Report
  • [Presentation] Self-organization of non-uniform dynamical patterns in complex networks of diffusively coupled oscillators2010

    • Author(s)
      Hiroya Nakao
    • Organizer
      Dynamics Days 2010
    • Place of Presentation
      Evanston (Illinois), USA
    • Year and Date
      2010-01-06
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [Presentation] Turing patterns in network-organized activator-inhibitor systems2009

    • 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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [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
    • Related Report
      2009 Final Research Report
  • [Presentation] Diffusion-induced instability and chaos in random oscillator networks2008

    • 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
    • Related Report
      2009 Final Research Report
  • [Presentation] Turing patterns on random networks2008

    • 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
    • Related Report
      2009 Final Research Report
  • [Presentation] Turing patterns on random networks2008

    • Author(s)
      Hiroya Nakao
    • Organizer
      Bio-inspired Complex Networks in Science and Technology : From Topology to Structure and Dynamics
    • Place of Presentation
      Dresden, Germany
    • Year and Date
      2008-05-06
    • Related Report
      2008 Annual Research Report
  • [Presentation] Turing patterns in random networks2008

    • Author(s)
      Hiroya Nakao, Alexander S. Mikhailov
    • Organizer
      Dynamics and evolution of biological and social networks
    • Place of Presentation
      Palma de Mallorca, Spain
    • Related Report
      2009 Final Research Report
  • [Presentation] The analysis of phase coherence of an ensemble of uncoupled limit-cycle oscillators via averaging of a jump-diffusion Kolmogorov equation2007

    • 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
    • Related Report
      2009 Final Research Report
  • [Presentation] The analysis of phase coherence of an ensemble of uncoupled limit-cycle oscillators via averaging of a jump-diffusion Kolmogorov equation2007

    • Author(s)
      Kensuke Arai and Hiroya Nakao
    • Organizer
      NOLTA2007 (International Symposium on Nonlinear Theory and its Applications)
    • Place of Presentation
      Vancouver, Canada
    • Year and Date
      2007-09-17
    • Related Report
      2007 Annual Research Report
  • [Remarks]

    • URL

      http://www.ton.scphys.kyoto-u.ac.jp/~nakao

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.ton.scphys.kyoto-u.ac.jp/~nakao/papers.html

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.ton.scphys.kyoto-u.ac.jp/-nakao/papers.html

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi