| Full text | |
| Author(s): |
Franzosa, Robert
;
de Rezende, Ketty A.
;
Vieira, Ewerton R.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 48, n. 1, p. 183-212, SEP 2016. |
| Web of Science Citations: | 1 |
| Abstract | |
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) | |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 10/19230-8 - Transition Matrix Theory |
| Grantee: | Ewerton Rocha Vieira |
| Support Opportunities: | Scholarships in Brazil - Doctorate |