Lie algebras, structure of nonlinear systems and chaotic motion

被引：28

作者：

Banks, SP ^{[1
]}

McCaffrey, D ^{[1
]}

机构：

[1] Univ Sheffield, Dept Anim Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1998年 / 8卷 / 07期

关键词：

D O I：

10.1142/S021812749800111X

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

The structure theory of Lie algebras is used to classify nonlinear systems according to a Levi decomposition and the solvable and semisimple parts of a certain Lie algebra associated with the system. An approximation theory is developed and a new class of chaotic systems is introduced, based on the structure theory of Lie algebras.

引用

页码：1437 / 1462

页数：26

共 14 条

[1]

Banks S. P., 1995, Archives of Control Sciences, V4(40), P261

[2]

Banks S. P., 1996, IMA Journal of Mathematical Control and Information, V13, P385, DOI 10.1093/imamci/13.4.385

[3]

LIE-ALGEBRAS AND THE STABILITY OF NONLINEAR-SYSTEMS [J].