Stochastic analysis of limit cycle behavior in spatially extended systems

被引：17

作者：

Baras, F

机构：

[1] Centre for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.77.1398

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The statistical properties of a one-dimensional reaction-diffusion system undergoing a Hopf bifurcation are studied using the master equation approach. The analysis reveals nontrivial interferences between macroscopic dynamics and mesoscopic local fluctuations that eventually wipe out any trace of homogeneous oscillations, even though the latter are asymptotically stable solutions of the deterministic equations.

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页码：1398 / 1401

页数：4

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