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Linearizing Systems of Second-Order ODEs via Symmetry Generators Spanning a Simple Subalgebra

✍ Scribed by Campoamor-Stursberg, R.; Guerón, J.

Book ID
121624776
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
478 KB
Volume
127
Category
Article
ISSN
0167-8019

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Systems of second-order linear ODE’s wit
Systems of second-order linear ODE’s with constant coefficients and their symmetries
✍ R. Campoamor-Stursberg 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 245 KB

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 be