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Type: Artigo de periódico
Title: Periodic Orbits For A Class Of C 1 Three-dimensional Systems
Author: Ferragut A.
Llibre J.
Teixeira M.A.
Abstract: We study C 1 perturbations of a reversible polynomial differential system of degree 4 in ℝ 3. We introduce the concept of strongly reversible vector field. If the perturbation is strongly reversible, the dynamics of the perturbed system does not change. For non-strongly reversible perturbations we prove the existence of an arbitrary number of symmetric periodic orbits. Additionally, we provide a polynomial vector field of degree 4 in ℝ 3 with infinitely many limit cycles in a bounded domain if a generic assumption is satisfied. © 2007 Springer.
Rights: fechado
Identifier DOI: 10.1007/BF03031432
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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