| Grant number: | 12/20884-8 |
| Support Opportunities: | Scholarships abroad - Research |
| Start date: | February 04, 2013 |
| End date: | March 03, 2013 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Ana Cristina de Oliveira Mereu |
| Grantee: | Ana Cristina de Oliveira Mereu |
| Host Investigator: | Jaume Llibre |
| Host Institution: | Centro de Ciências e Tecnologias para a Sustentabilidade (CCTS). Universidade Federal de São Carlos (UFSCAR). Sorocaba , SP, Brazil |
| Institution abroad: | Universitat Autònoma de Barcelona (UAB), Spain |
Abstract In recent years, there has been considerable interest in studying Non-Smooth Dynamical Systems because these systems are widely encountered in applications and mainly due its strong relationship with other fields of science like Mathematics and Physics or Engineering. Such differential systems can exhibit complicate dynamics such as those exhibited by general nonlinear differential systems. The limit cycles and the invariant sets by the flow are some of the main components in the qualitative description of the dynamical behavior of a differential system. Our goal in this project is to study the persistence periodic orbits of the non-smooth perturbed system which emerge from the set of periodic orbits of the unperturbed system. The techniques used will be the Averaging Theory combined with Regularization Process. (AU) | |
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