| Full text | |
| Author(s): |
Carvalho, Tiago
;
Teixeira, Marco A.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 261, n. 7, p. 4008-4029, OCT 5 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we present a number of results involving 3D nonsmooth dynamical systems tangent to a foliation. We study one-parameter families of systems Z(epsilon) passing through a specific model Z(0) whose phase portrait is foliated by invariant nested tori. For each positive integer k we, explicitly, construct a family Z(epsilon)(k) possessing exactly k nested tori. (C) 2016 Elsevier Inc. All rights reserved. (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: | 14/02134-7 - Qualitative theory and bifurcations of piecewise smooth vector fields |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |