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http://hdl.handle.net/10773/4124
Título: | Computing ODE symmetries as abnormal variational symmetries |
Autor: | Gouveia, P.D.F. Torres, D.F.M. |
Palavras-chave: | Abnormality Computer algebra systems Dynamic symmetries ODEs Optimal control Symmetries Variational symmetries |
Data: | 2009 |
Editora: | Elsevier |
Resumo: | We give a new computational method to obtain symmetries of ordinary differential equations. The proposed approach appears as an extension of a recent algorithm to compute variational symmetries of optimal control problems [P.D.F. Gouveia, D.F.M. Torres, Automatic computation of conservation laws in the calculus of variations and optimal control, Comput. Methods Appl. Math. 5 (4) (2005) 387-409], and is based on the resolution of a first order linear PDE that arises as a necessary and sufficient condition of invariance for abnormal optimal control problems. A computer algebra procedure is developed, which permits one to obtain ODE symmetries by the proposed method. Examples are given, and results compared with those obtained by previous available methods. © 2008 Elsevier Ltd. All rights reserved. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4124 |
ISSN: | 0362-546X |
Aparece nas coleções: | DMat - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[121]Computing ODE symmetries as abnormal variational symmetries.pdf | 335.37 kB | Adobe PDF |
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