Perturbations of reversible systems / Perturbações de sistemas reversiveis

AUTOR(ES)
DATA DE PUBLICAÇÃO

2009

RESUMO

In this work we study the existence and persistence of some minimal sets in perturbations of reversible systems. First we make non reversible perturbations of centers in R2 and R4 and we detect conditions for the existence of limit cycles and invariant tori. We study the existence of periodic solutions of the perturbations of a family of di_erential equations expressed by x(2n) + a (2n-2)/2 +?+ a1x(2) + x = 0 ; for n = 2; 3. The existence and persistence of homoclinic orbits in such equations are also discussed

ASSUNTO(S)

periodic orbits sistemas dinamicos simetria dynamical systems symmetry orbitas periodicas

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