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arxiv: 1801.02761 · v1 · pith:REKGZTOGnew · submitted 2018-01-09 · 🧮 math.DS

An analytical proof for synchronization of stochastic phase oscillator

classification 🧮 math.DS
keywords oscillatorphasestochasticsynchronizationalongalwaysanalyticalarbitrary
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In this paper, we show that under a generic condition of the coefficient of a stochastic phase oscillator the Lyapunov exponent of the linearization along an arbitrary solution is always negative. Consequently, the generated random dynamical system exhibits a synchronization.

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