Noise-induced failures of chaos stabilization: Large fluctuations and their control

被引:7
|
作者
Khovanov, IA [1 ]
Khovanova, NA
McClintock, PVE
机构
[1] Saratova State Univ, Dept Phys, Saratov 410026, Russia
[2] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England
来源
PHYSICAL REVIEW E | 2003年 / 67卷 / 05期
关键词
D O I
10.1103/PhysRevE.67.051102
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Noise-induced failures in the stabilization of an unstable orbit in the one-dimensional logistic map are considered as large fluctuations from a stable state. The properties of the large fluctuations are examined by determination and analysis of the optimal path and the optimal fluctuational force corresponding to the stabilization failure. The problem of controlling noise-induced large fluctuations is discussed, and methods of control have been developed.
引用
收藏
页码:1 / 051102
页数:11
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