| Grant number: | 17/23692-6 |
| Support Opportunities: | Scholarships in Brazil - Master |
| Effective date (Start): | March 01, 2018 |
| Effective date (End): | February 29, 2020 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Ricardo Miranda Martins |
| Grantee: | Matheus Manzatto de Castro |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Associated research grant: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems, AP.TEM |
| Associated scholarship(s): | 19/06873-2 - Piecewise smooth and reversible dynamical systems in R^(2n+1): existence of homoclinic trajectories and applications, BE.EP.MS |
Abstract In this project we will study the main theorem on structural stability for piecewise smooth dynamical systems on low dimensions. In particular, we will consider the global dynamics of families of piecewise smooth dynamical systems on torus $\mathbb R^2$, where the quantity of fold points have serious implications about the structural stability of the system. Moreover, on spheres $S^k$, $k=2,3$, we will obtain some results about the structural stability of piecewise smooth dynamical systems that are tangent to the Reeb foliation of $S^3$. (AU) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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