Conservation laws for invariant functionals containing compositions
| dc.creator | Frederico, Gastao S. F. | |
| dc.creator | Torres, Delfim F. M. | |
| dc.date | 2007-04-06 | |
| dc.date.accessioned | 2026-07-07T08:33:56Z | |
| dc.date.available | 2026-07-07T08:33:56Z | |
| dc.description | 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. | |
| dc.description | Accepted for an oral presentation at the 7th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2007), to be held in Pretoria, South Africa, 22-24 August, 2007 | |
| dc.identifier | https://arxiv.org/abs/0704.0949 | |
| dc.identifier | http://arxiv.org/abs/0704.0949 | |
| dc.identifier | Applicable Analysis, Volume 86, Issue 9, 2007, pp. 1117-1126. | |
| dc.identifier | doi:10.1080/00036810701584583 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139261 | |
| dc.subject | Optimization and Control | |
| dc.subject | 49K05; 49J05 | |
| dc.title | Conservation laws for invariant functionals containing compositions | |
| dc.type | text |