| Full text | |
| Author(s): |
Czaja, Radoslaw
;
Oliva, Waldyr M.
;
Rocha, Carlos
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 37, n. 7, p. 3601-3623, JUL 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
In this paper we consider a definition of Morse-Smale evolution process that extends the notion of Morse-Smale dynamical system to the nonautonomous framework. In particular we consider nonautonomous perturbations of autonomous systems. In this case our definition of Morse-Smale evolution process holds for perturbations of Morse-Smale autonomous systems with or without periodic orbits. We establish that small nonautonomous perturbations of autonomous Morse-Smale evolution processes derived from certain nonautonomous differential equations are Morse-Smale evolution processes. We apply our results to examples of scalar parabolic semilinear differential equations generating evolution processes and possessing periodic orbits. (AU) | |
| FAPESP's process: | 15/21049-3 - Morse-Smale theory adapted to the study of non-autonomous systems |
| Grantee: | Clodoaldo Grotta Ragazzo |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |