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Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise
- Publication Year :
- 2010
- Publisher :
- arXiv, 2010.
-
Abstract
- An effective white-noise Langevin equation is derived that describes long-time phase dynamics of a limit-cycle oscillator subjected to weak stationary colored noise. Effective drift and diffusion coefficients are given in terms of the phase sensitivity of the oscillator and the correlation function of the noise, and are explicitly calculated for oscillators with sinusoidal phase sensitivity functions driven by two typical colored Gaussian processes. The results are verified by numerical simulations using several types of stochastic or chaotic noise. The drift and diffusion coefficients of oscillators driven by chaotic noise exhibit anomalous dependence on the oscillator frequency, reflecting the peculiar power spectrum of the chaotic noise.<br />Comment: 16 pages, 6 figures
- Subjects :
- Physics
Applied Mathematics
Phase (waves)
General Physics and Astronomy
Spectral density
FOS: Physical sciences
Statistical and Nonlinear Physics
Nonlinear Sciences - Chaotic Dynamics
Noise (electronics)
Langevin equation
Correlation function (statistical mechanics)
symbols.namesake
Colors of noise
Limit cycle
symbols
Statistical physics
Chaotic Dynamics (nlin.CD)
Gaussian process
Mathematical Physics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....c1439e594d9eea497a52fb0f224ec55d
- Full Text :
- https://doi.org/10.48550/arxiv.1005.4765