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oai:docta.ucm.es:20.500.14352/439242024-07-16T14:55:24Zcom_20.500.14352_14col_20.500.14352_15

Campoamor Stursberg, Otto-Rudwig 2023-06-20T03:34:32Z 2023-06-20T03:34:32Z 2011 1007-5704 https://hdl.handle.net/20.500.14352/43924 http://www.sciencedirect.com/science/article/pii/S1007570410005824# http://www.sciencedirect.com/ 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. eng restricted access Systems of second-order linear ODE’s with constant coefficients and their symmetries journal article