Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/4263
Title: | Conservation laws for invariant functionals containing compositions |
Author: | Frederico, G.S.F. Torres, D.F.M. |
Keywords: | DuBois-Reymond condition Functionals containing compositions Noether's theorem Optimal control Symmetries Variational calculus |
Issue Date: | 2007 |
Publisher: | IFAC |
Abstract: | 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 |
Publisher Version: | http://www.ifac-papersonline.net/Detailed/38454.html |
Appears in Collections: | DMat - Comunicações |
Files in This Item:
File | Description | Size | Format | |
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[097]NOLCOS2007-148.pdf | 371.46 kB | Adobe PDF |
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