Symmetry breaking for a system of two linear second-order ordinary differential equations

被引：38

作者：

Wafo Soh C. ^{[1
,2
]}

Mahomed F.M. ^{[2
]}

机构：

[1] University of the Witwatersrand, Ctr. Different. Equat., Continuum M., Johannesburg

[2] Dept. of Compl. and Appl. Math., Ctr. Different. Equat., Continuum M., University of the Witwatersrand, Wits 2050, Johannesburg

来源：

Nonlinear Dynamics | 2000年 / 22卷 / 01期

关键词：

Lie algebra - Symmetry breaking;

D O I：

10.1023/A:1008390431287

中图分类号：

学科分类号：

摘要：

A new canonical form for a system of two linear second-order ordinary differential equations (odes) is obtained. The latter is decisive in unravelling symmetry structure of a system of two linear second-order odes. Namely we establish that the point symmetry Lie algebra of a system of two linear second-order odes can be 5-, 6-, 7-, 8- or 15-dimensional. This result enhances both the richness and the complexity of the symmetry structure of linear systems.

引用

页码：121 / 133

页数：12

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