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Computing ODE symmetries as abnormal variational symmetries

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dc.contributor.authorGouveia, Paulo D.F.
dc.contributor.authorTorres, Delfim F.M.
dc.date.accessioned2010-02-17T16:51:00Z
dc.date.available2010-02-17T16:51:00Z
dc.date.issued2008
dc.descriptionComputer Applicationpt
dc.description.abstractWe 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.pt
dc.identifier.citationGouveia, Paulo D.F.; Torres, Delfim F.M. (2008). Computing ODE symmetries as abnormal variational symmetries. Maple Application Centre.
dc.identifier.urihttp://hdl.handle.net/10198/1965
dc.language.isoengpt
dc.publisherMaplesoftpt
dc.relation.publisherversionhttp://www.maplesoft.com/applications/view.aspx?SID=6881pt
dc.subjectSymmetriespt
dc.subjectVariational symmetriespt
dc.subjectDynamic symmetriespt
dc.subjectODEspt
dc.subjectComputer algebra systemspt
dc.subjectOptimal controlpt
dc.subjectAbnormalitypt
dc.titleComputing ODE symmetries as abnormal variational symmetriespt
dc.typeworking paper
dspace.entity.typePublication
oaire.citation.titleMaple Application Centrept
person.familyNameGouveia
person.givenNamePaulo D.F.
person.identifier.orcid0000-0003-3049-6230
person.identifier.scopus-author-id20433578000
rcaap.rightsopenAccesspt
rcaap.typeworkingPaperpt
relation.isAuthorOfPublication41c37437-90c4-4e40-893b-44fe4ae1f159
relation.isAuthorOfPublication.latestForDiscovery41c37437-90c4-4e40-893b-44fe4ae1f159

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