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Analysis and control of self-organization in coupled dynamical systems on complex networks

Research Project

Project/Area Number 25540108
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Soft computing
Research InstitutionTokyo Institute of Technology

Principal Investigator

Nakao Hiroya  東京工業大学, 工学院, 准教授 (40344048)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords非線形ダイナミクス / 複雑ネットワーク / 自己組織化 / ネットワーク / 結合力学系 / 摂動理論 / ラプラシアン / 反応拡散系 / パターン形成
Outline of Final Research Achievements

In this research project, self-organization phenomena in systems of autonomous elements interacting over complex networks have been explored and analyzed, and methods to optimize and control such systems have been investigated. During the project period, Turing instability and pattern formation in reaction-diffusion systems on networks and their generalization to various mathematical models, response analysis of collective dynamics in coupled oscillators on networks and control of their synchronization by external noise, and localization properties of eigenvectors of the Laplacian matrix describing diffusion processes on networks, have been investigated. Results of the research have been published in international academic journals and reported in domestic and overseas conferences and workshops.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (37 results)

All 2017 2016 2015 2014 2013 Other

All Journal Article (15 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 15 results,  Open Access: 7 results,  Acknowledgement Compliant: 5 results) Presentation (19 results) (of which Int'l Joint Research: 7 results,  Invited: 6 results) Remarks (3 results)

  • [Journal Article] Localization of Laplacian eigenvectors on random networks2017

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

      Scientific Reports

      Volume: 7 Issue: 1 Pages: 1121-1121

    • DOI

      10.1038/s41598-017-01010-0

    • NAID

      120006582596

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Optimization of noise-induced synchronization of oscillator networks2016

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

      Physical Review E

      Volume: 94 Issue: 3

    • DOI

      10.1103/physreve.94.032201

    • NAID

      120006582541

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Phase reduction approach to synchronization of nonlinear oscillators2016

    • Author(s)
      Hiroya Nakao
    • Journal Title

      Contemporary Physics

      Volume: 57 Issue: 2 Pages: 188-214

    • DOI

      10.1080/00107514.2015.1094987

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A criterion for timescale decomposition of external inputs for generalized phase reduction of limit-cycle oscillators2015

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

      Nonlinear Theory and Its Applications, IEICE

      Volume: 6 Issue: 2 Pages: 171-180

    • DOI

      10.1587/nolta.6.171

    • NAID

      130005064241

    • ISSN
      2185-4106
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Phase description of oscillatory convection with a spatially translational mode2015

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

      Physica D

      Volume: 295-296 Pages: 11-29

    • DOI

      10.1016/j.physd.2014.12.007

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Design and control of noise-induced synchronization patterns2014

    • Author(s)
      W. Kurebayashi, T. Ishiil, M. Hasegawa and H. Nakao
    • Journal Title

      Europhysics Letters

      Volume: 107 Issue: 1 Pages: 10009-10009

    • DOI

      10.1209/0295-5075/107/10009

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Complex Ginzburg-Landau equation on networks and its non-uniform dynamics2014

    • Author(s)
      Hiroya Nakao
    • Journal Title

      European Physical Journal Special Topics

      Volume: 223 Issue: 12 Pages: 2411-2421

    • DOI

      10.1140/epjst/e2014-02220-1

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [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
      2014 Research-status 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
      2014 Research-status 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 Research-status 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 Research-status 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 Research-status 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 Research-status 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 Research-status 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 Research-status Report
    • Peer Reviewed
  • [Presentation] Pattern formation in reaction-diffusion systems on random networks2016

    • Author(s)
      Hiroya Nakao
    • Organizer
      Interdisciplinary Applications of Nonlinear Science
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2016-11-03
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Pattern formation and collective dynamics in reaction-diffusion systems on networks2016

    • Author(s)
      Hiroya Nakao
    • Organizer
      Self-Organized Patterns on Complex Networks 2016 (a satellite workshop of the 2016 Conference on Complex Systems)
    • Place of Presentation
      Amsterdam, the Netherlands
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability and sensitivity of synchronized states in a network of symmetrically coupled nonlinear oscillators for generating gait patterns2015

    • Author(s)
      Masashi Ota, Sho Yasui, Sho Shirasaka, and Hiroya Nakao
    • Organizer
      NOLTA2015
    • Place of Presentation
      Hong Kong, China
    • Year and Date
      2015-12-01
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Uncontrolled manifold analysis of oscillatory motions in dynamical models of body movement based on the Floquet theory2015

    • Author(s)
      Sho Shirasaka, Wataru Kurebayashi, and Hiroya Nakao
    • Organizer
      NOLTA2015
    • Place of Presentation
      Hong Kong, China
    • Year and Date
      2015-12-01
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 振動子ネットワークの共通ノイズ同期とその最適化2015

    • Author(s)
      河村洋史, 中尾裕也
    • Organizer
      第3回複雑コミュニケーションサイエンス研究会
    • Place of Presentation
      京都大学
    • Year and Date
      2015-11-09
    • Related Report
      2015 Research-status Report
  • [Presentation] 複雑ネットワーク上の移流による混合過程の解析2015

    • Author(s)
      秦重史, 中尾裕也, Alexander S. Mikhailov
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      関西大学千里山キャンパス
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report
  • [Presentation] Phase description of Karman vortices2015

    • Author(s)
      Yosuke Tomaru, Sho Shirasaka, Wataru Kurebayashi, and Hiroya Nakao
    • Organizer
      International Symposium on Fluctuation and Structure out of Equilibrium 2015
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2015-08-20
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Phase reduction analysis of rhythmic spatiotemporal patterns and network dynamics2015

    • Author(s)
      Hiroya Nakao
    • Organizer
      Dynamics of Coupled Oscillators: 40 years of the Kuramoto Model
    • Place of Presentation
      Dresden, Germany
    • Year and Date
      2015-07-27
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Synchronization of rhythmic spatiotemporal patterns and network dynamics2015

    • Author(s)
      Hiroya Nakao
    • Organizer
      8th International Conference Engineering of Chemical Complexity
    • Place of Presentation
      Munich, Germany
    • Year and Date
      2015-06-22
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 複雑ネットワーク上における移流方程式2015

    • Author(s)
      秦重史,中尾裕也,Alexander S. Mikhailov
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] Phase Reduction Approach to Synchronization of Coupled Oscillator Networks2015

    • Author(s)
      Hiroya Nakao
    • Organizer
      International Symposium on Photonics and Electronics Science and Engineering 2015
    • Place of Presentation
      Katsura-Hall, Katsura-Campus, Kyoto University, Kyoto, Japan
    • Year and Date
      2015-03-09
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Synchronization Analysis of Oscillator Circuits by Quadratic Phase Models2014

    • Author(s)
      Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao
    • Organizer
      3rd Japan-Korea Joint Workshop on Complex Communication Sciences
    • Place of Presentation
      Paradise Hotel, Busan, Korea
    • Year and Date
      2014-10-27 – 2014-10-28
    • Related Report
      2014 Research-status Report
  • [Presentation] Bayesian Parameter Estimation of Non-Stationary Collective Dynamics in Moving Animal Groups2014

    • Author(s)
      Ken Nishikawa, Wataru Kurebayashi, Hiroya Nakao
    • Organizer
      2014 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Luzern, Switzerland
    • Year and Date
      2014-09-14 – 2014-09-18
    • Related Report
      2014 Research-status Report
  • [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 Research-status 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 Research-status 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 Research-status Report
    • Invited
  • [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 Research-status 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 Research-status 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
      Tohoku University, Japan
    • Related Report
      2013 Research-status Report
    • Invited
  • [Remarks] Hiroya Nakao Papers

    • URL

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

    • Related Report
      2014 Research-status Report
  • [Remarks] Papers

    • URL

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

    • Related Report
      2013 Research-status Report
  • [Remarks] Presentations

    • URL

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

    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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