| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10481251 | Physica A: Statistical Mechanics and its Applications | 2005 | 7 Pages |
Abstract
We study the stability of self-sustained oscillations under the influence of external noise. For small-noise amplitude a phase approximation for the Langevin dynamics is valid. A stationary distribution of the phase is used for an analytic calculation of the maximal Lyapunov exponent. We demonstrate that for small noise the exponent is negative, which corresponds to synchronization of oscillators.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
D.S. Goldobin, A.S. Pikovsky,