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Invariant tori, periodic orbits, and chaotic behavior near heteroclinic connection in Filippov systems

Grant number: 21/11515-8
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): March 01, 2022
Effective date (End): February 28, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Douglas Duarte Novaes
Grantee:Luan Vinicio de Mattos Ferreira Silva
Supervisor: Maria Teresa Martinez-Seara Alonso
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Research place: Universitat Politècnica de Catalunya (UPC), Spain  
Associated to the scholarship:18/22398-0 - Global aspects of Filippov Systems via KAM theory, BP.DR


In this internship project, we will perform research in non-smooth dynamical systems in order to obtain results about invariant tori, periodic orbits, and chaotic behavior to a family of second-order discontinuous differential equations. Such a family of differential equations has an important role in the description of some physical and engineering phenomena. (AU)

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