| Texto completo | |
| Autor(es): |
Bertolim, M. A.
;
Lima, D. V. S.
;
Mello, M. P.
;
De Rezende, K. A.
;
Da Silveira, M. R.
Número total de Autores: 5
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Ergodic Theory and Dynamical Systems; v. 36, p. 44-pg., 2016-09-01. |
| Resumo | |
In this article, Conley's connection matrix theory and a spectral sequence analysis of a filtered Morse chain complex (C, Delta) are used to study global continuation results for flows on surfaces. The briefly described unfoldings of Lyapunov graphs have been proved to be a well-suited combinatorial tool to keep track of continuations. The novelty herein is a global dynamical cancellation theorem inferred from the differentials of the spectral sequence (E-r, d(r)). The local version of this theorem relates differentials dr of the r th page E-r to Smale's theorem on cancellation of critical points. (AU) | |
| Processo FAPESP: | 10/08579-0 - Matrizes de Transição associadas aos Complexos de Morse-Witten |
| Beneficiário: | Dahisy Valadão de Souza Lima |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 12/18780-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos |
| Beneficiário: | Marco Antônio Teixeira |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |