| Grant number: | 21/12395-6 |
| Support Opportunities: | Regular Research Grants |
| Duration: | February 01, 2022 - January 31, 2024 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Tiago de Carvalho |
| Grantee: | Tiago de Carvalho |
| Host Institution: | Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil |
Abstract
In this research project we will beinterested in studying new topics related to continuous time Dynamical Systems. We will seek both theoretical results and applications in areas such as: Biology, Engineering and Economics. Among the main results to be studied are: dynamics of evolution models of diseases such as cancer, HIV-AIDS and COVID-19; obtaining minimal sets for piecewise smooth vector fields that have no analogue in the smooth case; defining and obtaining properties of sliding fields in double tangency manifolds; symbolic dynamics and entropy;system dynamics (smooth or piecewise smooth) of singularly perturbed ordinary differential equations. (AU)
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