Synchronization of periodic self-oscillations by common noise

被引：10
|
作者：
D. S. Goldobin
A. S. Pikovsky
机构：
[1] Perm State University,
[2] University of Potsdam,undefined
来源：
Radiophysics and Quantum Electronics | 2004年 / 47卷 / 10-11期
关键词：
Noise Level; Lyapunov Exponent; Quantum Electronics; Analytic Calculation; Nonlinear Optic;
D O I：
10.1007/s11141-005-0031-8
中图分类号：
学科分类号：
摘要：
We consider the effect of external noise on the stability properties of self-oscillations. A stochastic equation for the phase is derived at the limit of weak noise (in the appropriate sense). The stationary probability-density distribution is used for an analytic calculation of the Lyapunov exponent. We show that the exponent is always negative for the small noise level, which corresponds to synchronization of self-oscillations.
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页码：910 / 915
页数：5
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