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http://hdl.handle.net/10773/4124
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DC Field | Value | Language |
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dc.contributor.author | Gouveia, P.D.F. | pt |
dc.contributor.author | Torres, D.F.M. | pt |
dc.date.accessioned | 2011-10-11T15:15:37Z | - |
dc.date.issued | 2009 | - |
dc.identifier.issn | 0362-546X | pt |
dc.identifier.uri | http://hdl.handle.net/10773/4124 | - |
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. © 2008 Elsevier Ltd. All rights reserved. | pt |
dc.description.sponsorship | CEOC | pt |
dc.description.sponsorship | FCT | pt |
dc.description.sponsorship | FEDER/POCI 2010 | pt |
dc.description.sponsorship | PRODEP III/5.3=2003 | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | dx.doi.org/10.1016/j.na.2008.10.009 | pt |
dc.relation.uri | http://www.scopus.com/inward/record.url?eid=2-s2.0-72149092442&partnerID=40&md5=c3bc9b629be7ee836525007cfbd5a88e | - |
dc.rights | restrictedAccess | por |
dc.subject | Abnormality | pt |
dc.subject | Computer algebra systems | pt |
dc.subject | Dynamic symmetries | pt |
dc.subject | ODEs | pt |
dc.subject | Optimal control | pt |
dc.subject | Symmetries | pt |
dc.subject | Variational symmetries | pt |
dc.title | Computing ODE symmetries as abnormal variational symmetries | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | e138 | pt |
degois.publication.issue | 12 | - |
degois.publication.issue | 12 | pt |
degois.publication.lastPage | e146 | pt |
degois.publication.title | Nonlinear Analysis, Theory, Methods and Applications | pt |
degois.publication.volume | 71 | pt |
dc.date.embargo | 10000-01-01 | - |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[121]Computing ODE symmetries as abnormal variational symmetries.pdf | 335.37 kB | Adobe PDF |
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