Periodic orbits of a Hamiltonian system related with the Friedmann-Robertson-Walker system in rotating coordinates
Buzzi, Claudio (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas (Brazil))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Santana, Paulo (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas (Brazil))

Date:	2020
Abstract:	We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Friedmann-Robertson-Walker Hamiltonian system in a rotating reference frame, which guarantee the existence of 12 continuous families of periodic orbits, parameterized by the values of the Hamiltonian, which born at the equilibrium point localized at the origin of coordinates. The main tool for finding analytically these families of periodic orbits is the averaging theory for computing periodic orbits adapted to the Hamiltonian systems. The technique here used can be applied to arbitrary Hamiltonian systems.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Families of periodic orbits ; Hamiltonian systems ; Generalized Friedmann-Robertson-Walker Hamiltonian ; Averaging theory
Published in:	Physica D. Nonlinear phenomena, Vol. 413 (December 2020) , art. 132673, ISSN 0167-2789

DOI: 10.1016/j.physd.2020.132673

Postprint 12 p, 572.5 KB

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