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Competitive forms of symmetry breaking in linear antiferromagnetic systems

✍ Scribed by W.J. Caspers; W. Magnus

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
853 KB
Volume
130
Category
Article
ISSN
0378-4371

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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

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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.