Orbitas homoclinicas em sistemas reversiveis / Homoclinic orbits in reversible systems
AUTOR(ES)
Glaucia Aparecida Soares Miranda
DATA DE PUBLICAÇÃO
2007
RESUMO
In this work we deal with the dynamics of a generic one-parameter family INT . IND. mu, PERTENCE (-e, e), of reversible vector fields defined in R POT. 4 . More specifically, we assume that INT IND. o (0) = 0, the eigenvalues of D INT IND. o (0) are real and given by + ou - 1, + ou - gama with gama >1 and the unstable manifolds of 0, WU POT. ipsilon (0) possesses a tangency with symmetry axis at a point M DIFFERENT 0. The main purpose of this dissertation is to exhibit conditions for the persistence of homoclinic orbits for INT . IND. mu, with um PERTENCE (-e, e)
ASSUNTO(S)
dynamical systems singularidades (matematica) campos vetoriais vector fields singularity (mathematical) sistemas dinamicos
