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2011 Fiscal Year Final Research Report

Design of functional network dynamics and universality

Research Project

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Project/Area Number 21540376
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionOsaka Electro-Communication University (2011)
Hokkaido University (2009-2010)

Principal Investigator

YANAGITA Tatsuo  大阪電気通信大学, 工学部, 教授 (80242262)

Co-Investigator(Kenkyū-buntansha) NAKAO Hiroya   (40344048)
Project Period (FY) 2009 – 2011
Keywords結合振動子 / ネットワーク / 同期現象 / マルコフ連鎖モンテカルロ法
Research Abstract

We design the network of oscillators to improve synchronization properties through appropriate rewiring of its connections. We consider what are the optimal network architectures for a given total number of connections. Starting with an initial random network of oscillators, its autonomous synchronization ability can be largely improved by appropriately rewiring the links between the elements using the Markov chain Monte Carlo method. The architectures of such optimal networks strongly depend on the constraints, such as the total number of links available. Through the appropriate rewiring of a network, a strong gain in the synchronization signal can be achieved. It is also shown that the architectures leading to the improved synchronization of identical oscillators in the presence of noise are essentially different from the optimal synchronization architectures for heterogeneous oscillator populations without noise. Large ensembles of optimized networks are obtained and their statistical properties have been investigated. These results are published in Phys. Rev. E.

  • Research Products

    (26 results)

All 2012 2011 2010 2009

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (16 results)

  • [Journal Article] Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise2011

    • Author(s)
      Shigefumi Hata, Kensuke Arai, Roberto F. Galan, and Hiroya Nakao
    • Journal Title

      Phys. Rev. E

      Volume: 84 Pages: 016229-016239

    • Peer Reviewed
  • [Journal Article] Collective phase description of globally coupled excitable elements2011

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

      Phys. Rev. E

      Volume: 84 Pages: 046211-046223

    • Peer Reviewed
  • [Journal Article] Design of easily synchronizable oscillator networks using Monte Carlo Optimization method2010

    • Author(s)
      Tatsuo Yanagita and Alexander S. Mikhailov
    • Journal Title

      Physical Review E

      Volume: 81 Pages: 056204-1054

    • Peer Reviewed
  • [Journal Article] Slow relaxation to equipartition in spring-chain systems2010

    • Author(s)
      T. Konishi and T. Yanagita
    • Journal Title

      Journal of Statistical Mechanics

      Volume: 9 Pages: 09001-09010

    • 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 Pages: 544-550

    • 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

      Phys. Rev. E

      Volume: 82 Pages: 036206(1-12)

    • Peer Reviewed
  • [Journal Article] Dynamics of Market Structure Driven by the Degree of Consumer's Rationality2010

    • Author(s)
      T. Yanagita, T. Onozaki
    • Journal Title

      Physica A

      Volume: 389 Pages: 1041-1054

    • Peer Reviewed
  • [Journal Article] Energetic motion of end-particles in constrained dynamical systems2009

    • Author(s)
      T. Konishi, T. Yanagita
    • Journal Title

      Journal of Statistical Mechanics L09

      Pages: L09001

    • 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

      Phys. Rev. Lett

      Volume: 102 Pages: 1941021-1941024

    • Peer Reviewed
  • [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

      Volume: 180 Pages: 0362071-0362079

    • Peer Reviewed
  • [Presentation] 強束縛ひも状系のエネルギー分配:溶媒の効果2012

    • Author(s)
      小西哲郎, 柳田達雄
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
  • [Presentation] 協働の数理モデル2012

    • Author(s)
      柳田達雄
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
  • [Presentation] Spatiotemporal pattern f ormation in reaction-diffusion systems o n complex networks2012

    • Author(s)
      Hiroya Nakao
    • Organizer
      SMART Workshop : Exploring Collaborative Mathematics
    • Place of Presentation
      Tohoku University, Japan
    • Year and Date
      2012-03-14
  • [Presentation] Phase Description of Pe riodic Solutions in Reaction-diffusion Sy stems2011

    • Author(s)
      Hiroya Nakao
    • Organizer
      IUTAM Symposium on 50 Years of Chaos : Applied and Theoretical
    • Place of Presentation
      Kyoto University, Japan
    • Year and Date
      2011-12-02
  • [Presentation] Design and Statistical Properties of Easily Synchronizable Os cillator Networks2010

    • Author(s)
      Tatsuo Yanagita
    • Organizer
      Emergence and Design of Robustness, IFISC
    • Place of Presentation
      Palma de Mal lorca, Spain
    • Year and Date
      2010-09-22
  • [Presentation] Statistical Characters of Synchronization-Optimized Oscillator Networks2010

    • Author(s)
      Tatsuo Yanagita
    • Organizer
      International Symposium on Nonlinear Theory and its Applications(NOLTA 2010)
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2010-09-08
  • [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
      2010-09-06
  • [Presentation] Design and Statistical Properties of Ea sily Synchronizable Oscillator Networks2010

    • Author(s)
      Tatsuo Yanagita and S. A. Mikhailov
    • Organizer
      Unwinding Complexity
    • Place of Presentation
      Port Douglas, Australia
    • Year and Date
      2010-07-25
  • [Presentation] Design and Thermodynamic Properties of Easily Synchronizable Oscillator Networks2010

    • Author(s)
      Tatsuo Yanagita
    • Organizer
      New Frontiers in Complex Networks
    • Place of Presentation
      Seoul National University, Korea
    • Year and Date
      2010-07-13
  • [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(岡山市)
    • Year and Date
      2010-03-25
  • [Presentation] マルコフ連鎖モンテカルロ法による位相振動子網の設計と解析2010

    • Author(s)
      柳田達雄, Alexander Mikhilov
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学(岡山市)
    • Year and Date
      2010-03-22
  • [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(東京都)
    • Year and Date
      2010-03-09
  • [Presentation] Self-organization of non-uniform dynamical patterns in complex networks of diffusively coupled oscillators2010

    • Author(s)
      中尾裕也
    • Organizer
      Workshop : Fluctuation and noise in living organisms II
    • Place of Presentation
      理化学研究所(和光市)
    • Year and Date
      2010-02-02
  • [Presentation] Statistical Properties of Synchrony Designed Network2009

    • Author(s)
      柳田達雄, Alexander Mikhilov
    • Organizer
      Frontiers in network science-advances and applications
    • Place of Presentation
      Harnack-House, Berlin, German
    • Year and Date
      2009-09-22
  • [Presentation] Statistical Properties of Synchrony Designed Network2009

    • Author(s)
      柳田達雄, Alexander Mikhilov
    • Organizer
      Dynamics Days Europe
    • Place of Presentation
      Max Planck Institute, Gottingen, Germany
    • Year and Date
      2009-08-31
  • [Presentation] Extracting Rare Trajectories in Chaos and Designing Network Synchrony by MCMC2009

    • Author(s)
      柳田達雄, Yukito Iba
    • Organizer
      Research Innovation Center Advanced Monte Carlo Algorithm Research Group 1st Workshop
    • Place of Presentation
      Institute of Statistical Methematics(Tokyo)
    • Year and Date
      2009-06-08

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Published: 2013-07-31  

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