| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [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
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 403, n. 1, p. 155-166, JUL 1 2013. |
| Web of Science Citations: | 1 |
| 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. (AU) | |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |