| Texto completo | |
| Autor(es): |
Franzosa, Robert
;
de Rezende, Ketty A.
;
Vieira, Ewerton R.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 48, n. 1, p. 183-212, SEP 2016. |
| Citações Web of Science: | 1 |
| Resumo | |
This article represents a major step in the unification of the theory of algebraic, topological and singular transition matrices by introducing a definition which is a generalization that encompasses all of the previous three. When this more general transition matrix satisfies the additional requirement that it covers flow-defined Conley-index isomorphisms, one proves algebraic and connection-existence properties. These general transition matrices with this covering property are referred to as generalized topological transition matrices and are used to consider connecting orbits of Morse-Smale flows without periodic orbits, as well as those in a continuation associated to a dynamical spectral sequence. (AU) | |
| 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 |
| Processo FAPESP: | 10/19230-8 - Teoria da Matriz de Transição |
| Beneficiário: | Ewerton Rocha Vieira |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |