Homoclinic orbits in degenerate reversible-equivariant systems in R-6

Autor(es)

Silva Lima, Mauricio Firmino ^[1] ; Teixeira, Marco Antonio ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed ABC, Ctr Matemat Computacao & Cognicao, BR-09210170 Santo Andre, SP - Brazil

^[2] Univ Estadual Campinas, Dept Matemat, BR-13083970 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 403, n. 1, p. 155-166, JUL 1 2013.
• Citações Web of Science: 1

Resumo

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. (AU)

• Processo FAPESP: 07/06896-5 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Luiz Antonio Barrera San Martin
• Modalidade de apoio: Auxílio à Pesquisa - Temático