Stochastic self-sustained oscillations of non-autonomous systems

被引：0
作者：
V. Anishchenko
T. Vadivasova
G. Strelkova
机构：
[1] Saratov State University,International Institute of Nonlinear Dynamics, Department of Physics
来源：
The European Physical Journal Special Topics | 2010年 / 187卷
关键词：
European Physical Journal Special Topic; Noise Intensity; Chaotic Attractor; Nonlinear Stochastic System; Nonautonomous System;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present minireview, we analyze autonomous and non-autonomous oscillations of dynamical and stochastic systems in the framework of common concepts. We introduce the definition of an attractor for a non-autonomous system. We also propose the definition of self-sustained oscillations, which can be applied for both autonomous and non-autonomous systems. We consider noise-induced oscillations and formulate the definition of stochastic self-sustained oscillations for this case. All the statements made in this work are illustrated by particular examples.
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页码：109 / 125
页数：16
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