Global phenomena in piecewise smooth dynamical systems

• Grant number: 16/23716-0
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Effective date (Start): May 01, 2017
• Effective date (End): April 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marco Antônio Teixeira
• Grantee: Otávio Marçal Leandro Gomide
• 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: 15/22762-5 - Structural Stability of Nonsmooth Systems on Tridimensional Manifolds, BP.DR

Abstract

We will perform research in nonsmooth dynamical systems (Filippov systems), studying certain global phenomena of a piecewise smooth vector field combining techniques from Theory of Singularities, Regularization of Nonsmooth Systems, and Singular Perturbation Theory, further usual methods of Qualitative and Geometric Theory of Dynamical Systems. More specifically, we will study the dynamics of global first return maps defined in the switching manifold associated to minimal sets of a 3D Filippov system.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GOMIDE, OTAVIO M. L.; TEIXEIRA, MARCO A.. On structural stability of 3D Filippov systems: A semi-local approach. MATHEMATISCHE ZEITSCHRIFT, v. 294, n. 1-2, p. 419-449, FEB 2020. (15/22762-5, 12/18780-0, 16/23716-0)