Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis

被引：14

作者：

Brokate, M ^{[1
]}

Pokrovskii, A

Rachinskii, D

机构：

[1] Natl Univ Ireland Univ Coll Cork, Dept Appl Math, Cork, Ireland

[2] Tech Univ Munich, Zentrum Math, D-85747 Munich, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 319卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

hysteresis perturbations of ODE; preisach hysteresis nonlinearity; periodic solutions; stability;

D O I：

10.1016/j.jmaa.2006.02.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider hysteresis perturbations of a system of ODEs which possesses an asymptotically stable periodic solution z(*). Where the oscillation of an appropriate projection of this periodic solution is smaller than some threshold number defined by the hysteresis nonlinearity, it is shown that the perturbed system has a continuum of periodic solutions with a rather simple structure in a vicinity of z(*). The main result is a theorem on the stability of this continuum. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：94 / 109

页数：16

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