Phase reduction of stochastic limit cycle oscillators

Phase reduction of stochastic limit cycle oscillators

We point out that for an oscillator subjected to noise the conventional phase equation is not a proper approximation even for weak noise. We present a phase reduction method valid for an oscillator subjected to weak white Gaussian noise. Numerical evidence demonstrates that the phase equation proper...

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Veröffentlicht in:Physical review letters 2008-10, Vol.101 (15), p.154101-154101, Article 154101
Hauptverfasser: Yoshimura, Kazuyuki, Arai, Kenichi
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container_title Physical review letters
container_volume 101
creator Yoshimura, Kazuyuki
Arai, Kenichi
description We point out that for an oscillator subjected to noise the conventional phase equation is not a proper approximation even for weak noise. We present a phase reduction method valid for an oscillator subjected to weak white Gaussian noise. Numerical evidence demonstrates that the phase equation properly approximates dynamics of the original oscillator. Moreover, we show that, in general, noise causes a shift of the oscillator frequency and discuss its effects on entrainment.
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title Phase reduction of stochastic limit cycle oscillators
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