Stochastic phase reduction for a general class of noisy limit cycle oscillators

Details Stochastic phase reduction for a general class of noisy limit cycle oscillators Stochastic phase reduction for a general class of noisy limit cycle oscillators

2009-06-22

arxiv.org/abs/0906.3931v1

Phys. Rev. Lett. 102, 194102 (2009)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

10 pages, 2 figures

Scientific paper

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.

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