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Systems of second-order linear ODE’s with constant coefficients and their symmetries

✍ Scribed by R. Campoamor-Stursberg

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
245 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

Starting from the study of the symmetries of systems of 4 second-order linear ODEs with constant real coefficients, we determine the dimension and generators of the symmetry algebra for systems of (n) equations described by a diagonal Jordan canonical form. We further prove that some dimensions between the lower and upper bounds cannot be attained in the diagonal case, and classify the Levi factors of the symmetry algebras.

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