Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/4263
Título: | Conservation laws for invariant functionals containing compositions |
Autor: | Frederico, G.S.F. Torres, D.F.M. |
Palavras-chave: | DuBois-Reymond condition Functionals containing compositions Noether's theorem Optimal control Symmetries Variational calculus |
Data: | 2007 |
Editora: | IFAC |
Resumo: | The study of problems of the calculus of variations with compositions is a quite recent subject with origin in dynamical systems governed by chaotic maps. Available results are reduced to a generalized Euler-Lagrange equation that contains a new term involving inverse images of the minimizing trajectories. In this work we prove a generalization of the necessary optimality condition of DuBois-Reymond for variational problems with compositions. With the help of the new obtained condition, a Noether-type theorem is proved. An application of our main result is given to a problem appearing in the chaotic setting when one consider maps that are ergodic. Copyright © 2007 IFAC. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4263 |
ISBN: | 978-3-902661-28-9 |
Versão do Editor: | http://www.ifac-papersonline.net/Detailed/38454.html |
Aparece nas coleções: | DMat - Comunicações |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[097]NOLCOS2007-148.pdf | 371.46 kB | Adobe PDF |
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