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

Study of Complex Collective Behavior in Nonlinear Oscillators Systems

Research Project

Project/Area Number 05836015
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 非線形科学
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

KURAMOTO Yoshiki  Kyoto Univ.Dept.of Physics, Professor, 理学部, 教授 (40037247)

Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1994: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1993: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywordsnonlinear oscillators / entraiment / complex Ginzburg-Landau equation / chaos / infinite degrees of freedom / global coupling / Lyapunov spectrum / clustering / 複素ギンツブルグ・ランダウ方程式 / 引き込み / 複素Ginzburg-Landauモデル / リアプノフスペクトル
Research Abstract

As a continuation of the previous study under the same project title, collective behavior of globally coupled limit-cycle oscillator of the complex Ginzburg-Landau type was studied in detail.Our study clarified that the various froms of collectively chaotic behavior are most naturally be classified into 3 types labelled as Type I,Type IIa and Type IIb.The collective chaos was characterized from several different aspects i.e. (1) pattern of oscillator distribution in the phase space, (2) characteristics of the full Lyapunov spectrum, and (3) characteristics of suitably defined local Lyapunov exponents.All these led to an identical classification.
The results described above were reported as two papers in Physica D,and also presented at the International Conference on Dynamical System and Chaos (May, 1994 ; Tokyo Metropolitan University) .

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (13 results)

All Other

All Publications (13 results)

  • [Publications] N. Nakagawa, Y. Kuramoto: "From Collective Oscilations to Collective Chaos in a Globally Coupled Oscillator System" Physica D. 75. 74-80 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] N. Nakagawa, Y. Kuramoto: "Anomalous Lyapunov Spectrum in Globally Coupled Osullators" Physica D. 80. 307-316 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y. Kuramoto, N. Nakagawa: "On a Variety of Collective Dynamics in Globally Couplod Osullators" Proceedings for the International Conference on Dynamical Systems and Chaos. 発表予定. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] N.Nakagawa, Y.Kuramoto: "From Collective Oscillations to Collective chaos in a Globally Coupled Oscillator System" Physica. D75. 74-80 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] N.Nakagawa, Y.Kuramoto: "Anomalous Lyapunov Spectrum in Globally Coupled Oscillators" Physica. D80. 307-316 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] N.Nakagawa,Y.Kuramoto: "From Collective Oscillations to Collective Chaos in a Globally Coupled Oscillator System" Physica D. 75. 74-80 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.Nakagawa,Y.Kuramoto: "Anomalous Lyapunov Spectrum in Globally Coupled Oscillators" Physica D. 80. 307-316 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Kuramoto,N.Nakagawa: "On a Variety of Collective Dynamics in Globally Coupled Oscillators" Proceedings for the International Conference on Dynamical System and Chaos. (発表予定). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 森肇、蔵本由起: "散逸構造とカオス(講座 現代の物理学)" 岩波書店, 290 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.Nakagawa,Y.Kuramoto: "Collective chaos in a population of globally coupled oscillators" Progress of Theoretical Physics. 89. 313-323 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Chawanya,T.Aoyagi,I.Nishikawa,K.Okuda,Y.Kuramoto: "A model for feature linking via collective oscillations in the primary visual cortex" Biological Cybernetics. 68. 483-490 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Nakagawa,Y.Kuramoto: "Sigularity of Lyapunov spectrum in globally coupled oscillators" Physica D(Proceedings for the Oji International Seminar on Complex Systems,ed.K.Kaneko). (発表予定). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 森肇,蔵本由紀: "散逸構造とカオス(講座 現代の物理学)" 岩波書店, 290 (1994)

    • Related Report
      1993 Annual Research Report

URL: 

Published: 1993-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi