Advanced search
Start date
Betweenand

Invariant sets for piecewise smooth differential equations defined on two dimensional compact manifolds

Grant number: 21/07017-2
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): September 01, 2021
Effective date (End): August 31, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Ricardo Miranda Martins
Grantee:Beatriz Benatti da Rocha e Silva
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:18/13481-0 - Geometry of control, dynamical and stochastic systems, AP.TEM

Abstract

In this project, we will study families of piecewise smooth differential equations defined on compact two-dimensional manifolds $M$. Our main objective is to exhibit conditions for a piecewise polynomial system defined in $M$ to admit periodic orbits in cases where $M$ is the sphere or the torus. We will also study the structural stability in the case of piecewise smooth differential equations defined in a $M$ polyhedron, considering the possibilities for the sliding dynamics on the edges. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
Articles published in other media outlets (0 total):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Please report errors in scientific publications list by writing to: cdi@fapesp.br.