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Type: Artigo de periódico
Title: Homoclinic Orbits In Degenerate Reversible-equivariant Systems In R6
Author: Lima M.F.S.
Teixeira M.A.
Abstract: We study the dynamics near an equilibrium point p0 of a Z2xZ2-reversible vector field in R6 with the reversing symmetry or symmetry φ satisfying φ2=I and dimFix(φ)=3. We deal with systems such that X presents at p0 a degenerate resonance of type 0:p:q or 0-non-resonant. We are assuming that the linearized system of X (at p0) has as eigenvalues: λ1=0 λj=±iαj, 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. © 2013 Elsevier Ltd.
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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