Asymptotic Stability of Large-amplitude Oscillations in Systems with Hysteresis

被引：0

作者：

Dmitrii Rachinskii

机构：

[1] Institute for Information Transmission Problems,

[2] 19 Bol'shoj Karetnyj st,undefined

[3] Moscow 101447,undefined

[4] Russia,undefined

来源：

Nonlinear Differential Equations and Applications NoDEA | 1999年 / 6卷

关键词：

Nonlinear System; Periodic Solution; Asymptotic Stability; Critical Parameter; Linear Part;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study depending on a parameter periodic systems with the main linear part and a hysteresis nonlinearity; the linearized at infinity system has a one-dimensional subspace of periodic solutions for the critical parameter value. We prove theorems on a number, localization, and asymptotic stability of large-amplitude periodic solutions for the nonlinear system.

引用

页码：267 / 288

页数：21