Asymptotic Stability of Large-amplitude Oscillations in Systems with Hysteresis

被引：7

作者：

Rachinskii, Dmitrii ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 1999年 / 6卷 / 03期

关键词：

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

D O I：

10.1007/s000300050076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study depending on a parameter periodic systems with the main linear part and a hysteresis nonlinearity; the linearized at in 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：22

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