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 Computing ODE symmetries as abnormal variational symmetries
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4124

title: Computing ODE symmetries as abnormal variational symmetries
authors: Gouveia, P.D.F.
Torres, D.F.M.
keywords: Abnormality
Computer algebra systems
Dynamic symmetries
ODEs
Optimal control
Symmetries
Variational symmetries
issue date: 2009
publisher: Elsevier
abstract: 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.
URI: http://hdl.handle.net/10773/4124
ISSN: 0362-546X
source: Nonlinear Analysis, Theory, Methods and Applications
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