Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/66744
Type: Artigo de periódico
Title: Families of periodic orbits in resonant reversible systems
Author: Lima, MFS
Teixeira, MA
Abstract: We study the dynamics near an equilibrium point p(0) of a Z(2)(R)- reversible vector field in R(2n) with reversing symmetry R satisfying R(2) = I and dim Fix (R) = n. We deal with one-parameter families of such systems X(lambda) such that X(0) presents p(0) a degenerate resonance of type 0: p: q. We are assuming that the linearized system of X(0) (at p(0)) has eigenvalues: lambda(1) = 0 and lambda(j) = +/- i alpha(j), j = 2,...n. Our main concern is to find conditions for the existence of one-parameter families if periodic orbits near the equilibrium.
Subject: equilibrium point
periodic orbit
reversibility
normal form
resonance
Country: EUA
Editor: Springer
Rights: fechado
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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