ON THE BIRTH OF MINIMAL SETS FOR PERTURBED REVERSIBLE VECTOR FIELDS

Full text
Author(s):	Llibre, Jaume ^[1] ; Martins, Ricardo Miranda ^[2] ; Teixeira, Marco Antonio ^[2] Total Authors: 3
Affiliation:	^[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain ^[2] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 31, n. 3, p. 763-777, NOV 2011.
Web of Science Citations:	0
Abstract
The results in this paper fit into a program to study the existence of periodic orbits, invariant cylinders and tori filled with periodic orbits in perturbed reversible systems. Here we focus on bifurcations of one-parameter families of periodic orbits for reversible vector fields in R(4). The main used tools are normal forms theory, Lyapunov-Schmidt method and averaging theory. (AU)

FAPESP's process:	07/05215-4 - The Hamiltonian structure of normal forms for elliptic equilibria of reversible vector fields in 4D and 6D
Grantee:	Ricardo Miranda Martins
Support Opportunities:	Scholarships in Brazil - Doctorate


FAPESP's process:	07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:	Luiz Antonio Barrera San Martin
Support Opportunities:	Research Projects - Thematic Grants