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Campoamor Stursberg, Otto Ruttwig
(2011)
*Systems of second-order linear ODE’s with constant coefficients and their symmetries.*
Communications in Nonlinear Science and Numerical Simulation, 16
(8).
pp. 3015-3023.
ISSN 1007-5704

PDF
Restringido a Repository staff only 250kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S1007570410005824#

## Abstract

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.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Lie group method; Point symmetry; Lie algebra; Linearization |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 22255 |

Deposited On: | 09 Jul 2013 17:19 |

Last Modified: | 12 Dec 2018 15:13 |

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