The symmetry of steady-state solutions of non-smooth dynamical systems with two constraints

被引：2

作者：

Luo, ACJ ^{[1
]}

机构：

[1] So Illinois Univ, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS | 2005年 / 219卷 / 01期

关键词：

non-smooth dynamical systems; mapping dynamics; local singularity; symmetry invariance;

D O I：

10.1243/146441905X9980

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, the symmetry of steady-state solutions in non-smooth dynamical systems with two symmetrical constraints are investigated to obtain all possible stable and unstable motions. An invariant transformation exists in regular and chaotic motions relative to skew-symmetrical mapping pairs in symmetrical systems with harmonic excitations. This investigation provides a mathematical foundation for the symmetry of solutions in this class of non-smooth dynamical systems. The group structure of mapping combinations should be further investigated.

引用

页码：109 / 124

页数：16

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