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Singular perturbation problems for time-reversible systems |
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| Authors: | Claudio A. Buzzi Paulo Ricardo da Silva Marco Antonio Teixeira |
| Affiliation: | IBILCE, Universidade Estadual Paulista, São José do Rio Preto, SP, CEP 15054-000, Brazil ; IBILCE, Universidade Estadual Paulista, São José do Rio Preto, SP, CEP 15054-000, Brazil ; Instituto de Matemática, Estatística e Computação Cienti~fica, Universidade Estadual de Campinas, Campinas, SP, CEP 13081-970, Brazil |
| Abstract: | In this paper singularly perturbed reversible vector fields defined in  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. |
| Keywords: | Singular perturbations time-reversible systems |
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