Effective phase description of noise-perturbed and noise-induced oscillations
Department of Physics and Astronomy, Potsdam University, 14476 Potsdam, Germany
a e-mail: JSchwabedal@googlemail.com
Revised: 9 August 2010
Published online: 1 October 2010
An effective dynamical description of a general class of stochastic phase oscillators is presented. For this, the effective phase velocity is defined either by the stochastic phase oscillators invariant probability density or its first passage times. Using the first approach the effective phase exhibits the correct frequency and invariant distribution density, whereas the second approach models the proper phase resetting curve. The discrepancy of the effective models is most pronounced for noise-induced oscillations and is related to non-monotonicity of the stochastic phase variable due to fluctuations.
© EDP Sciences, Springer-Verlag, 2010