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Coherence in nonlinear dynamical systems subjected to common fluctuating forcing

Research Project

Project/Area Number 22684020
Research Category

Grant-in-Aid for Young Scientists (A)

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionTokyo Institute of Technology

Principal Investigator

NAKAO HIROYA  東京工業大学, 情報理工学(系)研究科, 准教授 (40344048)

Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥13,780,000 (Direct Cost: ¥10,600,000、Indirect Cost: ¥3,180,000)
Fiscal Year 2013: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2012: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2011: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2010: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Keywords非線形ダイナミクス / 確率過程 / リズム現象 / 同期現象 / 揺らぎ / 縮約理論 / ネットワーク / 非線形振動 / コヒーレンス / 同期 / 自己組織化 / 非線形
Research Abstract

There are various examples of elements that exhibit self-sustained dynamics in the real world. In particular, nonlinear oscillators that generate self-sustained rhythms are ubiquitous in various fields including physics, chemistry, biology, and engineering. It is well known that periodic external forcing can entrain the driven oscillators and interacting coupled oscillators can exhibit mutual synchronization. Recent studies have also revealed that the oscillators exhibit synchronization, or more generally coherence, when driven by common or correlated stochastic forcing. In this research project, we theoretically analyzed the mechanism leading to such nontrivial phenomena. Specifically, on the basis of the phase-reduction theory for nonlinear oscillators, we showed that such noise-induced synchronization phenomenon generally occurs in weakly driven oscillators and clarified its conditions.

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (96 results)

All 2014 2013 2012 2011 2010 Other

All Journal Article (26 results) (of which Peer Reviewed: 26 results,  Open Access: 2 results) Presentation (62 results) (of which Invited: 3 results) Book (1 results) Remarks (7 results)

  • [Journal Article] Phase reduction approach to synchronization of spatiotemporal rhythms in reaction-diffusion systems2014

    • Author(s)
      Hiroya Nakao, Tatsuo Yanagita, and Yoji Kawamura
    • Journal Title

      Physical Review X

      Volume: 4 Issue: 2 Pages: 021032-021055

    • DOI

      10.1103/physrevx.4.021032

    • NAID

      120006582330

    • Related Report
      2013 Final Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Enhancement of noise correlation for noise-induced synchronization of limit-cycle oscillators by threshold filtering2014

    • Author(s)
      Masahiro Kazama, Wataru Kurebayashi, Takahiro Tsuchida, Yuta Minoshima, Mikio Hasegawa, Koji Kimura, and Hiroya Nakao
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 5 Issue: 2 Pages: 157-171

    • DOI

      10.1587/nolta.5.157

    • NAID

      130003395999

    • ISSN
      2185-4106
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Advection of passive particles over flow networks2014

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

      Physical Review E

      Volume: 89 Issue: 2

    • DOI

      10.1103/physreve.89.020801

    • NAID

      120006582311

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Noise-induced synchronization of oscillatory convection and its optimization2014

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

      Physical Review E

      Volume: 89 Issue: 1

    • DOI

      10.1103/physreve.89.012912

    • NAID

      120006582300

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dispersal-induced destabilization of metapopulations and oscillatory Turing patterns in ecological networks2014

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

      Scientific Reports

      Volume: 4 Issue: 1

    • DOI

      10.1038/srep03585

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Sufficient conditions for wave instability in three-component reaction-diffusion systems2014

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

      Progress of Theoretical and Experimental Physics

      Volume: 2014 Issue: 1 Pages: 13A01-0

    • DOI

      10.1093/ptep/ptt102

    • NAID

      120006582301

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Collective phase description of oscillatory convection2013

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

      Chaos

      Volume: 23 Issue: 4

    • DOI

      10.1063/1.4837775

    • NAID

      120006582296

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Phase reduction method for strongly perturbed limit cycle oscillators2013

    • Author(s)
      Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao
    • Journal Title

      Physical Review Letters

      Volume: 111 Issue: 21

    • DOI

      10.1103/physrevlett.111.214101

    • NAID

      120006582293

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Phase ordering in coupled noisy bistable systems on scale-free networks2013

    • Author(s)
      Yu Atsumi, Shigefumi Hata, and Hiroya Nakao
    • Journal Title

      Physical Review E

      Volume: 88 Issue: 5

    • DOI

      10.1103/physreve.88.052806

    • NAID

      120006582291

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Adjoint method provides phase response functions for delay-induced oscillations2012

    • Author(s)
      Kiyoshi Kotani, Ikuhiro Yamaguchi, Yutaro Ogawa, Yasuhiko Jimbo, Hiroya Nakao, and G. Bard Ermentrout
    • Journal Title

      Physical Review Letters

      Volume: 109 Issue: 4

    • DOI

      10.1103/physrevlett.109.044101

    • NAID

      120006582191

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global feedback control of Turing patterns in network-organized activator-inhibitor systems2012

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

      Europhysics Letters

      Volume: 98 Issue: 6 Pages: 64004-64004

    • DOI

      10.1209/0295-5075/98/64004

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Persistent fluctuations in the synchronization rate in globally coupled oscillators with periodic external forcing2012

    • Author(s)
      Yu Atsumi and Hiroya Nakao
    • Journal Title

      Physical Review E

      Volume: 85 Issue: 5

    • DOI

      10.1103/physreve.85.056207

    • NAID

      120006582183

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reduction Theories Elucidate the Origins of Complex Biological Rhythms Generated by Interacting Delay-Induced Oscillations2011

    • Author(s)
      Ikuhiro Yamaguchi, Yutaro Ogawa, Yasuhiko Jimbo, Hiroya Nakao, and Kiyoshi Kotani
    • Journal Title

      PLoS ONE

      Volume: 6 Issue: 11 Pages: e26497-e26497

    • DOI

      10.1371/journal.pone.0026497

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Collective phase description of globally coupled excitable elements2011

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

      Physical Review E

      Volume: 84 Issue: 4

    • DOI

      10.1103/physreve.84.046211

    • NAID

      120006582134

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise2011

    • Author(s)
      S.Hata, K.Arai, R.Galan, H.Nakao
    • Journal Title

      Physical Review E

      Volume: 84 Issue: 1

    • DOI

      10.1103/physreve.84.016229

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase synchronization between collective rhythms of globally coupled oscillator groups : Noiseless nonidentical case2010

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

      Chaos

      Volume: 20 Issue: 4

    • DOI

      10.1063/1.3491344

    • NAID

      120006582077

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Phase synchronization between collective rhythms of globally coupled oscillator groups : Noisy identical case2010

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

      Chaos

      Volume: 20 Issue: 4

    • DOI

      10.1063/1.3491346

    • NAID

      120006582078

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of limit cycle oscillators subject to general noise2010

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

      Physical Review Letters

      Volume: 105 Issue: 15

    • DOI

      10.1103/physrevlett.105.154101

    • NAID

      120006582073

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise2010

    • Author(s)
      Hiroya Nakao, Jun-nosuke Teramae, Denis S. Goldobin, and Yoshiki Kuramoto
    • Journal Title

      Chaos

      Volume: 20 Issue: 3

    • DOI

      10.1063/1.3488977

    • NAID

      120006582070

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Synchronization of uncoupled oscillators by common gamma impulses : from phase locking to noise-induced synchronization2010

    • Author(s)
      Shigefumi Hata, Takeaki Shimokawa, Kensuke Arai, and Hiroya Nakao
    • Journal Title

      Physical Review E

      Volume: 82 Issue: 3

    • DOI

      10.1103/physreve.82.036206

    • NAID

      120006582071

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Turing patterns in network-organized activator-inhibitor systems2010

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

      Nature Physics

      Volume: 6 Issue: 7 Pages: 544-550

    • DOI

      10.1038/nphys1651

    • Related Report
      2013 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Synchronization of uncoupled oscillators by common gamma impulses : from phase locking to noise-induced synchronization2010

    • Author(s)
      Shigefumi Hata, Takeaki Shimokawa, Kensuke Arai, Hiroya Nakao
    • Journal Title

      Physical Review E

      Volume: 82

    • NAID

      120006582071

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise2010

    • Author(s)
      Hiroya Nakao, Jun-nosuke Teramae, Denis S.Goldobin, Yoshiki Kuramoto
    • Journal Title

      Chaos

      Volume: 20

    • NAID

      120006582070

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of limit cycle oscillators subject to general noise2010

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

      Physical Review Letters

      Volume: 105

    • NAID

      120006582073

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase synchronization between collective rhythms of globally coupled oscillator groups : Noiseless non-identical case2010

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

      Chaos

      Volume: 20

    • NAID

      120006582077

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase synchronization between collective rhythms of globally coupled oscillator groups : Noisy identical case2010

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

      Chaos

      Volume: 20

    • NAID

      120006582078

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Stochastic Dynamics of Coupled Bistable Systems on Scale-Free Networks2014

    • Author(s)
      Yu Atsumi, Shigefumi Hata and Hiroya Nakao
    • Organizer
      5th International Workshop on Complex Networks
    • Place of Presentation
      Bologna, Italy
    • Related Report
      2013 Annual Research Report
  • [Presentation] A phase reduction method for strongly perturbed limit cycle oscillators and its applications2014

    • Author(s)
      Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao
    • Organizer
      Nonlinear dynamics and stochastic methods: from neuroscience to other biological applications
    • Place of Presentation
      Pittsburgh, USA
    • Related Report
      2013 Annual Research Report
  • [Presentation] カオス振動子の位相縮約について2014

    • Author(s)
      紅林 亘, 中尾裕也
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      東海大学湘南キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] 与えられた周期軌道と位相応答特性を持つ非線形振動子のデザイン2014

    • Author(s)
      石井 翼,紅林 亘,中尾裕也
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      東海大学湘南キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] ノイズに誘起される同期パターンの設計・制御法2014

    • Author(s)
      紅林 亘, 中尾裕也
    • Organizer
      電子情報通信学会2014年総合大会
    • Place of Presentation
      新潟大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] カオス振動子における位相の定義について2014

    • Author(s)
      紅林 亘, 中尾裕也
    • Organizer
      電子情報通信学会 非線形問題研究会(NLP)
    • Place of Presentation
      上智大学四ッ谷キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] 強く結合した非線形振動子の相互同期現象の理論的な解析2014

    • Author(s)
      紅林 亘, 白坂 将, 中尾裕也
    • Organizer
      電子情報通信学会 非線形問題研究会(NLP)
    • Place of Presentation
      ニセコパークホテル
    • Related Report
      2013 Annual Research Report
  • [Presentation] 局所情報に基づいた最適速度関数の更新による車両制御2014

    • Author(s)
      蓑島勇太, 中尾裕也
    • Organizer
      電子情報通信学会 非線形問題研究会(NLP)
    • Place of Presentation
      ニセコパークホテル
    • Related Report
      2013 Annual Research Report
  • [Presentation] 所与の周期軌道と位相応答特性を持つ振動子の設計2014

    • Author(s)
      石井 翼, 紅林 亘, 中尾裕也
    • Organizer
      電子情報通信学会 非線形問題研究会(NLP)
    • Place of Presentation
      ニセコパークホテル
    • Related Report
      2013 Annual Research Report
  • [Presentation] ハイブリッド力学系におけるリミットサイクル振動子結合系の位相縮約法による解析2014

    • Author(s)
      白坂 将, 紅林 亘, 中尾裕也
    • Organizer
      電子情報通信学会 非線形問題研究会(NLP)
    • Place of Presentation
      ニセコパークホテル
    • Related Report
      2013 Annual Research Report
  • [Presentation] Synchronization and instability in coupled oscillator networks2013

    • Author(s)
      Hiroya Nakao
    • Organizer
      REPOWGEE (Workshop on Resilient Power Grids and Extreme Events), Potsdam Institute for Climate Impact Research
    • Place of Presentation
      Potsdam, Germany
    • Related Report
      2013 Final Research Report
  • [Presentation] Pattern formation in network-organized reaction-diffusion systems2013

    • Author(s)
      Hiroya Nakao
    • Organizer
      Workshop on nonlinear PDEs - PDE approach to network and related topics -
    • Place of Presentation
      Kawai Hall, Tohoku University
    • Related Report
      2013 Final Research Report
  • [Presentation] Phase dynamics of limit-cycle oscillators subjected to strong perturbations2013

    • Author(s)
      Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao
    • Organizer
      XXXIII International Conference Dynamics Days Europe 2013
    • Place of Presentation
      Madrid, Spain
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] Phase description of limit-cycle oscillators subjected to strong perturbations2013

    • Author(s)
      Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao
    • Organizer
      Workshop on nonlinear PDEs - PDE approach to network and related topics -
    • Place of Presentation
      Warnemunde, Germany
    • Related Report
      2013 Final Research Report
  • [Presentation] Analytical Approach to Noise-Induced Phase Synchronization of Chaotic Oscillators2013

    • Author(s)
      Wataru Kurebayashi, Kantaro Fujiwara, Hiroya Nakao, and Tohru Ikeguchi
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird, Utah, USA
    • Related Report
      2013 Final Research Report
  • [Presentation] Phase Reduction Analysis of Oscillatory Patterns in Reaction- Diffusion Systems2013

    • Author(s)
      Hiroya Nakao, Tatsuo Yanagita, Yoji Kawamura
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird, Utah, USA
    • Related Report
      2013 Final Research Report
  • [Presentation] Generation and Control of Autonomous Periodic Motion in a Mathematical Model of Multi-Joint Robots with Energy Dissipation2013

    • Author(s)
      Sho Yasui, Wataru Kurebayashi, and Hiroya Nakao
    • Organizer
      3rd International Symposium on Innovative Mathematical Modeling
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2013 Annual Research Report
  • [Presentation] Phase Description of Strongly Perturbed Nonlinear Oscillators2013

    • Author(s)
      Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao
    • Organizer
      3rd International Symposium on Innovative Mathematical Modeling
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2013 Annual Research Report
  • [Presentation] Phase description of hybrid limit-cycle oscillators2013

    • Author(s)
      Sho Shirasaka, Wataru Kurebayashi, and Hiroya Nakao
    • Organizer
      3rd International Symposium on Innovative Mathematical Modeling
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2013 Annual Research Report
  • [Presentation] Design of nonlinear oscillators with prescribed orbits and response properties2013

    • Author(s)
      Tsubasa Ishii, Wataru Kurebayashi, and Hiroya Nakao
    • Organizer
      3rd International Symposium on Innovative Mathematical Modeling
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2013 Annual Research Report
  • [Presentation] Synchronization and instability in coupled oscillator networks2013

    • Author(s)
      Hiroya Nakao
    • Organizer
      REPOWGEE (Workshop on Resilient Power Grids and Extreme Events)
    • Place of Presentation
      Potsdam, Germany
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Pattern formation in network-organized reaction-diffusion systems2013

    • Author(s)
      Hiroya Nakao
    • Organizer
      Workshop on nonlinear PDEs -PDE approach to network and related topics-
    • Place of Presentation
      Sendai, Japan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Phase description of limit-cycle oscillators subjected to strong perturbations2013

    • Author(s)
      Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao
    • Organizer
      7th International Conference Engineering of Chemical Complexity
    • Place of Presentation
      Warnemunde, Germany
    • Related Report
      2013 Annual Research Report
  • [Presentation] Phase sensitivity function for hybrid limit-cycle oscillators via the adjoint method2013

    • Author(s)
      Sho Shirasaka, Wataru Kurebayashi, and Hiroya Nakao
    • Organizer
      7th International Conference Engineering of Chemical Complexity
    • Place of Presentation
      Warnemunde, Germany
    • Related Report
      2013 Annual Research Report
  • [Presentation] Analytical Approach to Noise-Induced Phase Synchronization of Chaotic Oscillators2013

    • Author(s)
      Wataru Kurebayashi, Kantaro Fujiwara, Hiroya Nakao, and Tohru Ikeguchi
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird, USA
    • Related Report
      2013 Annual Research Report
  • [Presentation] Phase Reduction Analysis of Oscillatory Patterns in Reaction- Diffusion Systems2013

    • Author(s)
      Hiroya Nakao, Tatsuo Yanagita, Yoji Kawamura
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird, USA
    • Related Report
      2013 Annual Research Report
  • [Presentation] 振動性チューリング不安定化が起こるための十分条件2013

    • Author(s)
      秦重史,中尾裕也,A,Alexander S. Mikhailov
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] ハイブリッド力学系における位相縮約理論について2013

    • Author(s)
      白坂将,紅林亘,中尾裕也
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 強く結合したリミットサイクル振動子の位相縮約法による解析2013

    • Author(s)
      紅林亘,白坂将,中尾裕也
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 自励振動子の強い周期外力による同期現象の理論的な解析2013

    • Author(s)
      紅林亘, 白坂将, 中尾裕也
    • Organizer
      Dynamics and Design Conference (D&D)
    • Place of Presentation
      九州産業大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] ハイブリッド自励振動子の同期ダイナミクスの位相縮約法による解析及びその応用2013

    • Author(s)
      白坂将, 紅林亘, 中尾裕也
    • Organizer
      Dynamics and Design Conference (D&D)
    • Place of Presentation
      九州産業大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] エネルギー散逸を考慮した多関節ロボットの数理モデルにおける自励周期運動の生成とその制御2013

    • Author(s)
      安井祥, 紅林亘, 中尾裕也
    • Organizer
      Dynamics and Design Conference (D&D)
    • Place of Presentation
      九州産業大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 自励振動子の強い周期外力による同期現象の解析2013

    • Author(s)
      紅林亘, 白坂将, 中尾裕也
    • Organizer
      電子情報通信学会 複雑コミュニケーションサイエンス研究会(CCS)
    • Place of Presentation
      新篠津, 北海道
    • Related Report
      2013 Annual Research Report
  • [Presentation] ハイブリッドシステムにおける自励振動子にみられる同期現象の解析2013

    • Author(s)
      白坂将, 紅林亘, 中尾裕也
    • Organizer
      電子情報通信学会 複雑コミュニケーションサイエンス研究会(CCS)
    • Place of Presentation
      新篠津, 北海道
    • Related Report
      2013 Annual Research Report
  • [Presentation] エネルギー散逸を考慮した多関節ロボットの数理モデルにおける自励周期運動の生成と周期外力による同期現象2013

    • Author(s)
      安井祥, 紅林亘, 中尾裕也
    • Organizer
      電子情報通信学会 複雑コミュニケーションサイエンス研究会(CCS)
    • Place of Presentation
      新篠津, 北海道
    • Related Report
      2013 Annual Research Report
  • [Presentation] 位相縮約法によるカオス振動子のノイズ同期現象の解析2013

    • Author(s)
      紅林 亘, 藤原寛太郎, 中尾裕也, 池口徹
    • Organizer
      電子情報通信学会 非線形問題研究会(NLP)
    • Place of Presentation
      福岡大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Dispersal-induced oscillatory Turing instabilities in ecological networks2013

    • Author(s)
      Shigefumi Hata, Hiroya Nakao, and Alexander S. Mikhailov
    • Organizer
      Dynamics Days 2013
    • Place of Presentation
      Denver, Colorado, USA
    • Related Report
      2012 Annual Research Report
  • [Presentation] A Theory on Noise-Induced Synchronization of Chaotic Oscillators2012

    • Author(s)
      Wataru Kurebayashi, Kantaro Fujiwara, Hiroya Nakao, and Tohru Ikeguchi
    • Organizer
      2012 International Symposium on Nonlinear Theory and Its Applications (NOLTA2012)
    • Place of Presentation
      Gran Melia Victoria, Palma, Majorca, Spain
    • Related Report
      2013 Final Research Report
  • [Presentation] Ginzburg-Landau Equations Reduced from Coupled Delay Differential Equations2012

    • Author(s)
      Ikuhiro Yamaguchi, Yutaro Ogawa, Hiroya Nakao, Yasuhiko Jimbo, and Kiyoshi Kotani
    • Organizer
      International Symposium on Nonlinear Theory and Its Applications (NOLTA2012)
    • Place of Presentation
      Gran Melia Victoria, Palma, Majorca, Spain
    • Related Report
      2013 Final Research Report
  • [Presentation] Diffusion-induced instability in activator-inhibitor systems on complex networks2012

    • Author(s)
      Hiroya Nakao
    • Organizer
      Towards Mathematical Foundations of Complex Network Theory
    • Place of Presentation
      Kyoto University
    • Related Report
      2013 Final Research Report
  • [Presentation] Phase-reduction analysis of coupled spirals in reaction-diffusion systems2012

    • Author(s)
      Hiroya Nakao, Tatsuo Yanagita, and Yoji Kawamura
    • Organizer
      XXXII Dynamics Days Europe
    • Place of Presentation
      Gothenburg, Sweden
    • Related Report
      2013 Final Research Report 2012 Annual Research Report
  • [Presentation] Pattern formation and chaos on complex networks2012

    • Author(s)
      Hiroya Nakao
    • Organizer
      ISIMM2012 Satellite Meeting
    • Place of Presentation
      University of Tokyo, Japan
    • Related Report
      2013 Final Research Report
  • [Presentation] Spatiotemporal pattern formation in reaction-diffusion systems on complex networks2012

    • Author(s)
      Hiroya Nakao
    • Organizer
      SMART Workshop : Exploring Collaborative Mathematics
    • Place of Presentation
      Tohoku University, Japan
    • Related Report
      2013 Final Research Report
  • [Presentation] Diffusion-induced instability in activator-inhibitor systems on complex networks2012

    • Author(s)
      Hiroya Nakao
    • Organizer
      Towards Mathematical Foundations of Complex Network Theory
    • Place of Presentation
      Kyoto University, Japan
    • Related Report
      2012 Annual Research Report
  • [Presentation] Ginzburg-Landau Equations Reduced from Coupled Delay Differential Equations2012

    • Author(s)
      Ikuhiro Yamaguchi, Yutaro Ogawa, Hiroya Nakao, Yasuhiko Jimbo, and Kiyoshi Kotani
    • Organizer
      2012 International Symposium on Nonlinear Theory and Its Applications
    • Place of Presentation
      Palma, Majorca, Spain
    • Related Report
      2012 Annual Research Report
  • [Presentation] A Theory on Noise-Induced Synchronization of Chaotic Oscillators2012

    • Author(s)
      Wataru Kurebayashi, Kantaro Fujiwara, Hiroya Nakao, and Tohru Ikeguchi
    • Organizer
      2012 International Symposium on Nonlinear Theory and Its Applications
    • Place of Presentation
      Palma, Majorca, Spain
    • Related Report
      2012 Annual Research Report
  • [Presentation] Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise2011

    • Author(s)
      Shigefumi Hata and Hiroya Nakao
    • Organizer
      NOLTA2011
    • Place of Presentation
      Kobe Industrial Promotion Center, Japan
    • Year and Date
      2011-09-05
    • Related Report
      2013 Final Research Report
  • [Presentation] 時空カオスの独立成分分析とスパース表現2011

    • Author(s)
      中尾裕也
    • Organizer
      日本応用数理学会2011年研究部会連合発表会
    • Place of Presentation
      電気通信大学
    • Year and Date
      2011-03-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] 反応拡散系における進行パルスの位相記述と共通ノイズ同期2011

    • 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
      北海道大学
    • Year and Date
      2011-01-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Phase Description of Periodic Solutions in Reaction-diffusion Systems2011

    • Author(s)
      Hiroya Nakao
    • Organizer
      IUTAM Symposium on 50 Years of Chaos : Applied and Theoretical
    • Place of Presentation
      Kyoto University, Japan
    • Related Report
      2013 Final Research Report 2011 Annual Research Report
  • [Presentation] Optimal phase response curve for synchronization of limit-cycle oscillators2011

    • Author(s)
      Shigefumi Hata and Hiroya Nakao
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird Ski and Summer Resort
    • Related Report
      2013 Final Research Report
  • [Presentation] Collective phase response of macroscopic rhythms in coupled oscillator ensembles2011

    • Author(s)
      Hiroya Nakao and Yoji Kawamura
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird Ski and Summer Resort, USA.
    • Related Report
      2013 Final Research Report
  • [Presentation] Collective phase response of macroscopic rhythms in coupled oscillator ensembles2011

    • Author(s)
      Hiroya Nakao and Yoji Kawamura
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird Ski and Summer Resort, USA
    • Related Report
      2011 Annual Research Report
  • [Presentation] Optimal phase response curve for synchronization of limit-cycle oscillators2011

    • Author(s)
      Shigefumi Hata and Hiroya Nakao
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird Ski and Summer Resort, USA
    • Related Report
      2011 Annual Research Report
  • [Presentation] Phase reduction for analyzing collective rhythms of delay-induced oscillations2011

    • Author(s)
      Yutaro Ogawa, Ikuhiro Yamaguchi, Hiroya Nakao, Yasuhiko Jimbo, and Kiyoshi Kotani
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird Ski and Summer Resort, USA
    • Related Report
      2011 Annual Research Report
  • [Presentation] Optimal phase response curves for synchronization of limit-cycle oscillators by common Poisson impulses2011

    • Author(s)
      Shigefumi Hata and Hiroya Nakao
    • Organizer
      Engineering of Chemical Complexity
    • Place of Presentation
      Fritz-Haber-Institute of Max-Planck-Society, Berlin, Germany
    • Related Report
      2011 Annual Research Report
  • [Presentation] 非線形振動子の確率的な位相縮約とノイズ同期現象2011

    • Author(s)
      中尾裕也
    • Organizer
      第21回日本数理生物学会大会
    • Place of Presentation
      明治大学
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Phase reduction approach to traveling pulses in reaction-diffusion systems2010

    • Author(s)
      Hiroya Nakao
    • Organizer
      Japan-Slovenia Seminar on Nonlinear Science (Kansai 2010)
    • Place of Presentation
      Osaka Prefecture University
    • Year and Date
      2010-11-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Localization of Laplacian eigenvectors on complex networks2010

    • Author(s)
      Hiroya Nakao
    • Organizer
      Dynamics Days Europe 2010
    • Place of Presentation
      University of Bristol
    • Year and Date
      2010-09-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] Synchronization of nonlinear oscillators by common fluctuating signals2010

    • Author(s)
      中尾裕也
    • Organizer
      第49回日本生体医工学会オーガナイズドセッション「生物のリズム戦略」
    • Place of Presentation
      大阪国際交流センター
    • Year and Date
      2010-06-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] Phase reduction approach to traveling pulses in reaction-diffusion systems2010

    • Author(s)
      Hiroya Nakao
    • Organizer
      Japan-Slovenia Seminar on Nonlinear Science (Kansai 2010)
    • Place of Presentation
      Osaka Prefecture University, Japan
    • Related Report
      2013 Final Research Report
  • [Presentation] Localization of Laplacian eigenvectors on complex networks2010

    • Author(s)
      Hiroya Nakao
    • Organizer
      Dynamics Days Europe 2010
    • Place of Presentation
      University of Bristol, UK
    • Related Report
      2013 Final Research Report
  • [Book] 応用数理ハンドブック中「リアプノフ指数」および「大自由度カオス」の項目2013

    • Author(s)
      日本応用数理学会監修, 薩摩・大石・杉原監修
    • Publisher
      朝倉書店
    • Related Report
      2013 Final Research Report
  • [Remarks]

    • URL

      http://www.k.mei.titech.ac.jp/members/nakao/papers.html

    • Related Report
      2013 Final Research Report
  • [Remarks] Papers

    • URL

      http://www.k.mei.titech.ac.jp/members/nakao/papers.html

    • Related Report
      2013 Annual Research Report
  • [Remarks] Presentations

    • URL

      http://www.k.mei.titech.ac.jp/members/nakao/presentations.html

    • Related Report
      2013 Annual Research Report
  • [Remarks] Papers

    • URL

      http://www.k.mei.titech.ac.jp/members/nakao/papers.html

    • Related Report
      2012 Annual Research Report
  • [Remarks] Presentations

    • URL

      http://www.k.mei.titech.ac.jp/members/nakao/presentations.html

    • Related Report
      2012 Annual Research Report
  • [Remarks] 論文リスト

    • URL

      http://www.k.mei.titech.ac.jp/members/nakao/papers.html

    • Related Report
      2011 Annual Research Report
  • [Remarks] 発表リスト

    • URL

      http://www.k.mei.titech.ac.jp/members/nakao/presentations.html

    • Related Report
      2011 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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