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
收藏
页码：267 / 288
页数：22
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