Número:
33
Ano:
2004
Autor:
Cláudio A. Buzzi
Paulo Ricardo da Silva
Marco A. Teixeira
Abstract:
In this paper singularly perturbed reversible vector fields defined in R^2 without normal hyperbolicity conditions are discussed. The main results give conditions for the existence of infinitely many periodic orbits and heteroclinic cycles converging to singular orbits with respect to to the Hausdorff distance. Besides we classify the slow manifolds via exhibition of three normal forms on neighborhoods of non normally hyperbolic points.
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