2026-06-29T16:48:25Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/576272023-08-25T11:30:43Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Ibort, A.
author
MartÃnez Ontalba, Celia
2023-06-20T17:00:55Z
2023-06-20T17:00:55Z
1996
0305-4470
10.1088/0305-4470/29/3/018
https://hdl.handle.net/20.500.14352/57627
http://iopscience.iop.org/0305-4470/29/3/018
http://www.iop.org
The notion of relative periodic orbits for Hamiltonian systems with symmetry is discussed and a correspondence between periodic orbits of reduced and unreduced Hamiltonian
systems is established. Variational principles with symmetries are studied from the point of view of symplectic reduction of the space of loops, leading to a characterization of reduced periodic orbits by means of the critical subsets of an action functional restricted to a submanifold of the loop space of the unreduced manifold. Finally, as an application, it is shown that if the
symplectic form ! has finite integral rank, then the periodic orbits of a Hamiltonian system on the symplectic manifold .M; !/ admit a variational characterization.
eng
Periodic orbits of Hamiltonian systems and symplectic
reduction
journal article
URL
https://docta.ucm.es/bitstreams/b0f33de8-f156-4554-b149-51e834d8af7a/download
File
MD5
ccea428c85dcee93a87a234182303648
167109
application/pdf
Ontalba02.pdf