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Symmetry Breaking for a System of Two Linear Second-Order Ordinary Differential Equations

✍ Scribed by C. Wafo Soh; F. M. Mahomed

Book ID
110263512
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
65 KB
Volume
22
Category
Article
ISSN
0924-090X

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πŸ“œ SIMILAR VOLUMES

Symmetry breaking of systems of linear s
Symmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients
✍ CΓ©lestin Wafo Soh πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 174 KB

We show that the structure of the Lie symmetry algebra of a system of n linear secondorder ordinary differential equations with constant coefficients depends on at most n Γ€ 1 parameters. The tools used are Jordan canonical forms and appropriate scaling transformations. We put our approach to test by

Comment on β€œSymmetry breaking of systems
Comment on β€œSymmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients”
✍ Sergey V. Meleshko πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 167 KB

The present paper corrects the way of using Jordan canonical forms for studying the symmetry structures of systems of linear second-order ordinary differential equations with constant coefficients applied in [1]. The approach is demonstrated for a system consisting of two equations.