| Texto completo | |
| Autor(es): |
Pessoa, Claudio
;
Ribeiro, Ronisio
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 32, n. 08, p. 16-pg., 2022-06-30. |
| Resumo | |
In this paper, we study the number of limit cycles that can bifurcate from a periodic annulus in a discontinuous planar piecewise linear Hamiltonian differential system with three zones separated by two parallel straight lines. We prove that if the central subsystem, i.e. the system defined between the two parallel lines, has a real center and the other subsystems have centers or saddles, then we have at least three limit cycles that appear after perturbations of the periodic annulus. For this, we study the number of zeros of a Melnikov function for piecewise Hamiltonian system and present a normal form for this system in order to simplify the computations. (AU) | |
| Processo FAPESP: | 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II |
| Beneficiário: | Claudio Aguinaldo Buzzi |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 18/19726-5 - Problema de Dulac e do Centro-Foco em Variedades Bidimensionais |
| Beneficiário: | Cláudio Gomes Pessoa |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |