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Time evolution of synchronization in coupled dynamical systems with heterogeneous networks

  • MURATA Kenta
    Graduate School of Information Science and Technology, Hokkaido University
  • YOSHII Shinichiro
    Graduate School of Information Science and Technology, Hokkaido University
  • FURUKAWA Masashi
    Graduate School of Information Science and Technology, Hokkaido University

Bibliographic Information

Other Title
  • 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
  • ヒキンイツ ネットワーク ケツゴウ リキガクケイ ニ オケル ドウキ ジョウタイ ノ ジカン ハッテン

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Abstract

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 147 181-186, 2007-03-14

    Information Processing Society of Japan (IPSJ)

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