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- W1515666597 abstract "In a recent Letter, Yoshimura and Arai [1] claimed that the conventional phase stochastic differential equation(SDE) used in [2, 3, 4] does not give a proper approximation to limit-cycle oscillators driven by noise, and proposeda modified phase SDE. Here we argue that their claim is not always correct; both SDEs are valid depending on thesituation.Since physical noise has an associated time scale and all oscillators have a characteristic rate of attraction, whichof the two SDEs is appropriate depends on the relative sizes of these two scales. As a simple example, let us considerthe Stuart-Landau (SL) model used in [1, 2] driven by a colored noise generated by the Ornstein-Uhlenbeck process(OUP) [5], which is rescaled such that the amplitude relaxation time explicitly appears while keeping the limit cycleand its isochrons invariant,W˙ (t) = {T" @default.
- W1515666597 created "2016-06-24" @default.
- W1515666597 creator A5030187397 @default.
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- W1515666597 date "2008-12-17" @default.
- W1515666597 modified "2023-09-27" @default.
- W1515666597 title "Comment on Phase Reduction of Stochastic Limit Cycle Oscillators" @default.
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