非均一ネットワーク結合力学系における同期状態の時間発展  [in Japanese] Time evolution of synchronization in coupled dynamical systems with heterogeneous networks  [in Japanese]

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Abstract

論文では,非均一ネットワーク上の結合力学系に関する,同期状態の時間発展を調べ検討した.結合力学系としては正弦波結合する位相振動子を対象とし,系全体の位相コヒーレンスを時間に沿って観測した.その結果,ネットワークの非均一性の減少に従い位相コヒーレンスが減少することが分かり,これはマスター安定性関数による解析の逆となった.更に,位相コヒーレンスのパワースペクトルを観測したところ,スペクトルのベキ指数が非均一性の減少に従って増加することが明らかとなった.In this paper, we study time evolution of synchronization in coupled dynamical systems with heterogeneous networks. We model phase oscillators with sinusoidal couplings as the coupled dynamical systems, and observe their phase coherence along with time. As a result, it is found that the phase coherence reduces as the network heterogeneity reduces. This is paradoxical to the result given by the master stability function. Moreover, we examine the power spectra of the phase coherences, then it becomes clear that power exponents of the spectra increase as the heterogeneity decrease.

In this paper, we study time evolution of synchronization in coupled dynamical systems with heterogeneous networks. We model phase oscillators with sinusoidal couplings as the coupled dynamical systems, and observe their phase coherence along with time. As a result, it is found that the phase coherence reduces as the network heterogeneity reduces. This is paradoxical to the result given by the master stability function. Moreover, we examine the power spectra of the phase coherences, then it becomes clear that power exponents of the spectra increase as the heterogeneity decrease.

Journal

  • IPSJ SIG Notes. ICS

    IPSJ SIG Notes. ICS 2007(26(2007-ICS-147)), 181-186, 2007-03-16

    Information Processing Society of Japan (IPSJ)

References:  15

Codes

  • NII Article ID (NAID)
    110006277178
  • NII NACSIS-CAT ID (NCID)
    AA11135936
  • Text Lang
    JPN
  • Article Type
    Technical Report
  • ISSN
    09196072
  • NDL Article ID
    8705180
  • NDL Source Classification
    ZM13(科学技術--科学技術一般--データ処理・計算機)
  • NDL Call No.
    Z14-1121
  • Data Source
    CJP  NDL  NII-ELS  IPSJ 
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