Noise effects on the bifurcation phenomena of a relaxation oscillator forced by periodic input

2 Citations 18 References
  • DOI Shinji
    Dept. Biophysical Engineering, Fac. Engineering Science, Osaka Univ.
  • INOUE Junko
    Dept. Information and Computer Sciences, Fac. Science, Nara Women's Univ.
  • SATO Shunsuke
    Dept. Biophysical Engineering, Fac. Engineering Science, Osaka Univ.

Bibliographic Information

Other Title
  • 周期入力によって駆動される緩和振動子の分岐現象に及ぼす雑音の影響

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Description

The van der Pol oscillator shows a highly nonlinear oscillation called a relaxation oscillation in the limit of large parameter and the sinusoidally-forced relaxation oscillator shows various patterns of phase-locked oscillations and non-locked (quasi-periodic) ones. This report analyzes the noise effects on the phase-locked oscillations and the bifurcations by which various phase-locked oscillations are produced. The van der Pol oscillator is piecewisely linearized and a stochastic kernel is defined as a natural extension of a Poincare map of the deterministic (noiseless) forced oscillator. Stochastic phase lockings are analyzed from a viewpoint of density evolutions by an operator defined by the stochastic kernel.

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Details 詳細情報について

  • CRID
    1573387452152663168
  • NII Article ID
    110003291849
  • NII Book ID
    AN10060800
  • Text Lang
    ja
  • Data Source
    • CiNii Articles

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