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Array-Enhanced Coherence Resonance in the Diffusively Coupled Active Rotators and Its Analysis with the Nonlinear Fokker-Planck Equation

  • KANAMARU Takashi
    The authors are with the Department of Electrical and Electronic Engineering, Faculty of Technology
  • SEKINE Masatoshi
    The authors are with the Department of Electrical and Electronic Engineering, Faculty of Technology

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Abstract

The array-enhanced coherence resonance (AECR) in the diffusively coupled active rotators is investigated and its analysis with the nonlinear Fokker-Planck equation is presented. By considering the nonlinear Fokker-Planck equation of the rotators, it is found that the time-periodic solution exists in some parameter range. By solving the equation of a rotator and the Fokker-Planck equation simultaneously, the behavior of a rotator in the system with infinite number of rotators is considered, and it is found that AECR also takes place in this infinite system. Thus it is concluded that AECR is caused by the time-periodic solution of the probability density induced by noise.

Journal

  • IEICE Trans. Fundamentals, A

    IEICE Trans. Fundamentals, A 86 (9), 2197-2202, 2003-09-01

    The Institute of Electronics, Information and Communication Engineers

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Details

  • CRID
    1571980077394424704
  • NII Article ID
    110003212694
  • NII Book ID
    AA10826239
  • ISSN
    09168508
  • Text Lang
    en
  • Data Source
    • CiNii Articles

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