Phase Reduction of Stochastic Limit Cycle Oscillators

Kazuyuki Yoshimura, Kenichi Arai
2008 Physical Review Letters  
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.
doi:10.1103/physrevlett.101.154101 pmid:18999602 fatcat:mmncb6scbbbmjk7kouvotrh7rm