| Full text | |
| Author(s): |
Bertolim, M. A.
;
Lima, D. V. S.
;
Mello, M. P.
;
De Rezende, K. A.
;
Da Silveira, M. R.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 36, p. 44-pg., 2016-09-01. |
| Abstract | |
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) | |
| FAPESP's process: | 10/08579-0 - Transition Matrices associated with the Morse-Witten Complex |
| Grantee: | Dahisy Valadão de Souza Lima |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |