Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
723637 | IFAC Proceedings Volumes | 2007 | 6 Pages |
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Gastão S.F. Frederico, Delfim F.M. Torres,