Phase reduction of stochastic limit cycle oscillators

Abstract

We point out that the phase reduction of stochastic limit cycle oscillators has been done incorrectly in the literature. We present a correct phase reduction method for oscillators driven by weak external white Gaussian noises. Numerical evidence demonstrates that the present phase equation properly approximates the dynamics of the original full oscillator system.

4 pages, 2 figures

References in corpus (2)

• 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

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