An analytical proof for synchronization of stochastic phase oscillator
arXiv:1801.02761
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.
References in corpus (7)
- Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
- Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
- Dynamics of Limit Cycle Oscillator Subject to General Noise
- Stochastic phase reduction for a general class of noisy limit cycle oscillators
- Phase reduction of stochastic limit cycle oscillators
- Synchrony of limit-cycle oscillators induced by random external impulses
- Colored noise induces synchronization of limit cycle oscillators