| Grant number: | 15/06903-8 |
| Support Opportunities: | Regular Research Grants |
| Duration: | July 01, 2015 - June 30, 2017 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Ricardo Miranda Martins |
| Grantee: | Ricardo Miranda Martins |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract
In this project we study the existence of minimal invariant sets in non-smooth dynamical systems. In particular, we are interested in the existence of limit cycles and homoclinic cycles in dimensions $2$ and $3$.In dimension $2$ we focus on the existence of homoclinic cycles for non-smooth systems with two zones, considering the cases saddle-focus and saddle-center (real and virtual). We also want to study the existence of limit cycles for non-smooth dynamical systems with a circle as discontinuity manifold.In dimension $3$ we study the existence of limit cycles and homoclinic orbits in the special case of a model presenting two parallel $T$-singularities. (AU)
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