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
• Start date: March 01, 2022
• End date: 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
• Institution abroad: Universitat Politècnica de Catalunya (UPC), Spain
• Associated to the scholarship: 18/22398-0 - Global aspects of Filippov Systems via KAM theory, BP.DR

Abstract

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)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

M-SEARA, TERE; SILVA, LUAN V. M. F.; VILLANUEVA, JORDI. On the boundedness of solutions of a forced discontinuous oscillator. Journal of Differential Equations, v. 412, p. 39-pg., 2024-08-26. (18/22398-0, 21/11515-8)