| Texto completo | |
| Autor(es): |
Sousa-Silva, Priscilla A.
;
Terra, Maisa O.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | COMPUTATIONAL & APPLIED MATHEMATICS; v. 37, n. 3, p. 18-pg., 2018-07-01. |
| Resumo | |
We investigate multistability and global bifurcations in the general standard map, a biparametric two-dimensional map. Departing from the conservative case of the map, we describe the evolution of periodic solutions and their basins of attraction as dissipation builds up, paying special attention on how the biparametric variation affects multistability. We examine general and specific phenomena and behavior for three distinct dynamical regimes, namely small, moderate, and large damping and different forcing amplitudes. Also, we report numerically the mechanism of global bifurcations associated to small chaotic attractors in the multistable system. Several global bifurcations are investigated as dissipation increases. Specifically, through the characterization of an interior, a merging and a boundary crisis, we study the crucial role played by fundamental hyperbolic invariant structures, such as unstable periodic orbits and their stable and unstable invariant manifolds, in the mechanisms by which the phase space is globally transformed. (AU) | |
| Processo FAPESP: | 15/13339-1 - Método de parametrização aplicado à astrodinâmica e mecânica celeste |
| Beneficiário: | Maisa de Oliveira Terra |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |
| Processo FAPESP: | 13/07174-4 - Aplicações Práticas das Estruturas Invariantes do Problema Restrito de Três Corpos Espacial na Dinâmica do Sistema Solar |
| Beneficiário: | Priscilla Andressa de Sousa Silva |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |