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Type: Artigo de periódico
Title: Homoclinic orbits in degenerate reversible-equivariant systems in R-6
Author: Lima, MFS
Teixeira, MA
Abstract: We study the dynamics near an equilibrium point p(0) of a Z(2)xZ(2)-reversible vector field in R-6 with the reversing symmetry or symmetry phi satisfying phi(2) = I and dimFix(phi) = 3. We deal with systems such that X presents at p(0) a degenerate resonance of type 0 : p : q or 0-non-resonant. We are assuming that the linearized system of X (at P-0) has as eigenvalues: lambda(1) = 0 lambda(j) = +/- i alpha(j), j = 2, 3. Our main concern is to find conditions for the existence of families of homoclinic orbits associated to periodic orbits near the equilibrium. (C) 2013 Elsevier Inc. All rights reserved.
Subject: Equilibrium point
Periodic orbit
Homoclinic orbit
Normal form
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 403, n. 1, n. 155, n. 166, 2013.
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2013.02.024
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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