| Full text | |
| Author(s): |
Florentino, Marco
;
Carvalho, Tiago
Total Authors: 2
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-HYBRID SYSTEMS; v. 57, p. 16-pg., 2025-04-28. |
| Abstract | |
In this paper we establish conditions in order to obtain a set of trajectories of n-dimensional piecewise smooth vector fields that preserves measure even in the case where sliding motion is allowed. The key hypothesis is the occurrence of a sliding-escaping connection. As consequence, classical results from the ergodic theory of dynamical systems can be adapted for the context of piecewise smooth vector fields, just as the Poincar & eacute;'s Recurrence Theorem and the Birkhoff's Theorem. Also, we apply the results for previous models of the literature. (AU) | |
| FAPESP's process: | 22/02819-6 - Intermittent vector fields: theoretical aspects and applications |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Research Grants - Initial Project |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/10450-0 - Piecewise smooth vector fields: Closing Lemmas, shifts and horseshoe dynamics. |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 21/12395-6 - Piecewise smooth vector fields: theory and applications |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |