Singular perturbation problems for time-reversible systems
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- by Claudio A. Buzzi, Paulo Ricardo da Silva and Marco Antonio Teixeira PDF
- Proc. Amer. Math. Soc. 133 (2005), 3323-3331 Request permission
Abstract:
In this paper singularly perturbed reversible vector fields defined in $R^n$ without normal hyperbolicity conditions are discussed. The main results give conditions for the existence of infinitely many periodic orbits and heteroclinic cycles converging to singular orbits with respect to the Hausdorff distance.References
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Additional Information
- Claudio A. Buzzi
- Affiliation: IBILCE, Universidade Estadual Paulista, São José do Rio Preto, SP, CEP 15054-000, Brazil
- Email: buzzi@mat.ibilce.unesp.br
- Paulo Ricardo da Silva
- Affiliation: IBILCE, Universidade Estadual Paulista, São José do Rio Preto, SP, CEP 15054-000, Brazil
- MR Author ID: 785140
- Email: prs@mat.ibilce.unesp.br
- Marco Antonio Teixeira
- Affiliation: Instituto de Matemática, Estatística e Computação Cientıf̃ica, Universidade Estadual de Campinas, Campinas, SP, CEP 13081-970, Brazil
- Email: teixeira@ime.unicamp.br
- Received by editor(s): March 4, 2004
- Received by editor(s) in revised form: June 21, 2004
- Published electronically: May 9, 2005
- Additional Notes: The first author was partially supported by CAPES 0092/01-0.
The second author was partially supported by CAPES 0092/01-0 and CNPq 476886/2001-5 - Communicated by: Carmen C. Chicone
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 3323-3331
- MSC (2000): Primary 34C14, 34C20, 34D15
- DOI: https://doi.org/10.1090/S0002-9939-05-07894-9
- MathSciNet review: 2161156