Phys. Rev. Lett. 102, 194102 (2009) [4 pages]Stochastic Phase Reduction for a General Class of Noisy Limit Cycle OscillatorsReceived 24 February 2009; published 14 May 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.194102
DOI:
10.1103/PhysRevLett.102.194102
PACS:
05.45.Xt, 02.50.Ey
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