| Full text | |
| Author(s): |
Buzzi, Claudio A.
;
De Carvalho, Tiago
;
Euzebio, Rodrigo D.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 36, p. 12-pg., 2016-04-01. |
| Abstract | |
In this paper some aspects on chaotic behavior and minimality in planar piecewise smooth vector fields theory are treated. The occurrence of non-deterministic chaos is observed and the concept of orientable minimality is introduced. Some relations between minimality and orientable minimality are also investigated and the existence of new kinds of non-trivial minimal sets in chaotic systems is observed. The approach is geometrical and involves the ordinary techniques of non-smooth systems. (AU) | |
| FAPESP's process: | 14/02134-7 - Qualitative theory and bifurcations of piecewise smooth vector fields |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/00481-6 - Regularization, singular perturbation and Averaging method applied to piecewise smooth vector fields |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 10/18015-6 - A study for minimal sets in non-smooth systems in dimensions two and three |
| Grantee: | Rodrigo Donizete Euzébio |
| Support Opportunities: | Scholarships in Brazil - Doctorate |