Please use this identifier to cite or link to this item:
Title: Computing ODE symmetries as abnormal variational symmetries
Authors: Gouveia, Paulo D.F.
Torres, Delfim F.M.
Keywords: Symmetries
Variational symmetries
Dynamic symmetries
Computer algebra systems
Optimal control
Issue Date: 2009
Publisher: Elsevier
Citation: Gouveia, Paulo D.F.; Torres, Delfim F.M. (2009) - Computing ODE symmetries as abnormal variational symmetries. Nonlinear Analysis: Theory, Methods & Applications. ISSN 0362-546X. 71:12, p. e138-e146
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.
Publisher Version:
Appears in Collections:IC - Artigos em Revistas Indexados ao ISI/Scopus

Files in This Item:
File Description SizeFormat 
0804.0925v1.pdf208,9 kBAdobe PDFView/Open

FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpace
Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.