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arXiv · 1801.02761

An analytical proof for synchronization of stochastic phase oscillator

Y. Sato·T. S. Doan·N. T. The·H. T. Tuan
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Abstract

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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Y. Sato, T. S. Doan, N. T. The, H. T. Tuan. 2018-01-09. An analytical proof for synchronization of stochastic phase oscillator. https://arxiv.org/abs/1801.02761

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