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Campoamor Stursberg, Otto Ruttwig
(2012)
*Systems of second-order linear ODE’s with constant coefficients and their symmetries. II. The case of non-diagonal coefficient matrices.*
Communications in Nonlinear Science and Numerical Simulation, 17
(3).
pp. 1178-1193.
ISSN 1007-5704

PDF
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Official URL: http://www.sciencedirect.com/science/article/pii/S100757041100428X

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## Abstract

We complete the analysis of the symmetry algebra L for systems of n second-order linear ODEs with constant real coefficients, by studying the case of coefficient matrices having a non-diagonal Jordan canonical form. We also classify the Levi factor (maximal semisimple subalgebra) of L, showing that it is completely determined by the Jordan form. A universal formula for the dimension of the symmetry algebra of such systems is given. As application,

the case n = 5 is analyzed.

Item Type: | Article |
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Uncontrolled Keywords: | Lie group method; Point symmetry; Lie algebra; Levi factor; Linearization |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 20787 |

Deposited On: | 12 Apr 2013 13:24 |

Last Modified: | 12 Dec 2018 15:12 |

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