An evaluation of the Lyapunov characteristic exponent of chaotic continuous systems

被引：21

作者：

Rugonyi, S ^{[1
]}

Bathe, KJ ^{[1
]}

机构：

[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2003年 / 56卷 / 01期

关键词：

stability analysis; Lyapunov characteristic exponent; chaotic behaviour; non-linear; dynamics; dynamic stability;

D O I：

10.1002/nme.560

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A procedure to calculate the Lyapunov characteristic exponent of the response of structural continuous systems, discretized using finite element methods, is proposed. The Lyapunov characteristic exponent can be used to characterize the asymptotic stability of the system dynamic response, and it is frequently employed to identify a chaotic behaviour. The proposed procedure can also be used in the stability characterization of fluid-structure interaction systems in which the focus of the analysis is on the behaviour of the structural part. Copyright (C) 2002 John Wiley Sons, Ltd.

引用

页码：145 / 163

页数：19

共 25 条

[11] AT LEAST ONE LYAPUNOV EXPONENT VANISHES IF THE TRAJECTORY OF AN ATTRACTOR DOES NOT CONTAIN A FIXED-POINT [J].