Dynamics of Limit Cycle Oscillator Subject to General Noise

Details Dynamics of Limit Cycle Oscillator Subject to General Noise Dynamics of Limit Cycle Oscillator Subject to General Noise

2009-12-03

arxiv.org/abs/0912.0601v4

Phys. Rev. Lett. 105, 154101 (2010)

Physics

Condensed Matter

Statistical Mechanics

main paper: 4 pages, 2 figure; auxiliary material: 5-7 pages of the document, 1 figure

Scientific paper

10.1103/PhysRevLett.105.154101

The phase description is a powerful tool for analyzing noisy limit cycle oscillators. The method, however, has found only limited applications so far, because the present theory is applicable only to the Gaussian noise while noise in the real world often has non-Gaussian statistics. Here, we provide the phase reduction for limit cycle oscillators subject to general, colored and non-Gaussian, noise including heavy-tailed noise. We derive quantifiers like mean frequency, diffusion constant, and the Lyapunov exponent to confirm consistency of the result. Applying our results, we additionally study a resonance between the phase and noise.

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