Stochastic phase reduction for a general class of noisy limit cycle oscillators.
We formulate a phase-reduction method for a general class of noisy limit cycle oscillators and find that the phase equation is parametrized by the ratio between time scales of the noise correlation and amplitude relaxation of the limit cycle. The equation naturally includes previously proposed and mutually exclusive phase equations as special cases. The validity of the theory is numerically confirmed. Using the method, we reveal how noise and its correlation time affect limit cycle oscillations.
Teramae
Jun-Nosuke
JN
Brain Science Institute, RIKEN, Wako 351-0198, Japan.
Nakao
Hiroya
H
Ermentrout
G Bard
GB
D008962:Models, Theoretical; D009622:Noise; D013269:Stochastic Processes