Hysteresis in randomly perturbed fast dynamical systems

被引：3

作者：

Freidlin, MI

Mayergoyz, ID ^{[1
]}

机构：

[1] Univ Maryland, Dept Elect & Comp Engn, College Pk, MD 20742 USA

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

PHYSICA B | 2001年 / 306卷 / 1-4期

关键词：

hysteresis; fast dynamical systems; white-noise perturbations; large deviations;

D O I：

10.1016/S0921-4526(01)00956-5

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Hysteresis in randomly perturbed fast dynamical systems is studied. By using the theory of large deviations, it is demonstrated that noise may induce hysteresis in fast systems that do not exhibit it otherwise, or it may appreciably alter the characteristics of hysteresis present in the absence of noise. The case of dynamical systems with many attractors is especially studied and the mathematical machinery for identifying the attractors through which such systems evolve is presented. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：15 / 20

页数：6

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