Publication
Computing ODE symmetries as abnormal variational symmetries
| dc.contributor.author | Gouveia, Paulo D.F. | |
| dc.contributor.author | Torres, Delfim F.M. | |
| dc.date.accessioned | 2010-01-27T17:58:02Z | |
| dc.date.available | 2010-01-27T17:58:02Z | |
| dc.date.issued | 2009 | |
| dc.description.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. | pt |
| dc.description.sponsorship | The authors acknowledge the support from the Portuguese Foundation for Science and Technology (FCT), through the R&D unit Centre for Research on Optimization and Control (CEOC) of the University of Aveiro, cofinanced by the European Community Fund FEDER/POCI 2010. PG is also grateful to the support given by the program PRODEP III/5.3/2003. | |
| dc.identifier.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 | pt |
| dc.identifier.uri | http://hdl.handle.net/10198/1509 | |
| dc.language.iso | eng | pt |
| dc.publisher | Elsevier | pt |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/journal/0362546X | pt |
| dc.subject | Symmetries | pt |
| dc.subject | Variational symmetries | pt |
| dc.subject | Dynamic symmetries | pt |
| dc.subject | ODEs | pt |
| dc.subject | Computer algebra systems | pt |
| dc.subject | Optimal control | pt |
| dc.subject | Abnormality | pt |
| dc.title | Computing ODE symmetries as abnormal variational symmetries | pt |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | e146 | pt |
| oaire.citation.issue | 71(12) | pt |
| oaire.citation.startPage | e138 | pt |
| oaire.citation.title | Nonlinear Analysis: Theory, Methods & Applications | pt |
| person.familyName | Gouveia | |
| person.givenName | Paulo D.F. | |
| person.identifier.orcid | 0000-0003-3049-6230 | |
| person.identifier.scopus-author-id | 20433578000 | |
| rcaap.rights | openAccess | pt |
| rcaap.type | article | pt |
| relation.isAuthorOfPublication | 41c37437-90c4-4e40-893b-44fe4ae1f159 | |
| relation.isAuthorOfPublication.latestForDiscovery | 41c37437-90c4-4e40-893b-44fe4ae1f159 |