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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Periodic orbits of a Hamiltonian system related with the Friedmann-Robertson-Walker system in rotating coordinates

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Author(s):
Buzzi, Claudio [1] ; Llibre, Jaume [2] ; Santana, Paulo [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Paulista, IBILCE, BR-15054000 Sao Paulo - Brazil
[2] Univ Autonoma Barcelona, Barcelona 08193 - Spain
Total Affiliations: 2
Document type: Journal article
Source: PHYSICA D-NONLINEAR PHENOMENA; v. 413, DEC 2020.
Web of Science Citations: 0
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. (C) 2020 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 19/21446-3 - Global study of reversible vector fields of type (2;1)
Grantee:Paulo Henrique Reis Santana
Support Opportunities: Scholarships abroad - Research Internship - Master's degree
FAPESP's process: 18/23194-9 - Global study of reversible vector fields of type (2,0)
Grantee:Paulo Henrique Reis Santana
Support Opportunities: Scholarships in Brazil - Master