Stochastic Model of Chaotic Phase Synchronization. II

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Abstract

A stochastic model of chaotic phase synchronization (CPS) introduced in a previous paper is analyzed using approximate methods in two ways that differ from those employed in the previous paper. The rotation number and the diffusion constant of the phase difference are formulated with a stochastic model for the phase slips based on an adiabatic approximation and a scaling analysis employing a Gaussian white noise approximation in the limit of a short correlation time of the noise term. Moreover, the asymmetric peak of the phase diffusion constant due to critical enhancement of chaotic fluctuations is considered. Through these analyses, characteristic properties of the CPS transition are elucidated.

Journal

  • Progress of Theoretical Physics

    Progress of Theoretical Physics 119(2), 223-235, 2008-02-25

    Published for the Yukawa Institute for Theoretical Physics and the Physical Society of Japan

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Codes

  • NII Article ID (NAID)
    110006622938
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    0033068X
  • NDL Article ID
    9399592
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS 
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