Structural Stability of Nonsmooth Systems on Tridimensional Manifolds

• Grant number: 15/22762-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date until: March 01, 2016
• End date until: July 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marco Antônio Teixeira
• Grantee: Otávio Marçal Leandro Gomide
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems, AP.TEM
• Associated scholarship(s): 16/23716-0 - Global phenomena in piecewise smooth dynamical systems, BE.EP.DR

Abstract

In this PhD project, we will study global generic properties of Filippov systems on compact tridimensional manifolds. The main objective is to obtain characterization results about structurally stable systems on this context.

Scientific publications

(4)

(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)

GOMIDE, OTAVIO M. L.; TEIXEIRA, MARCO A.. On typical homoclinic-like loops in 3D Filippov systems. Journal of Differential Equations, v. 307, p. 444-475, JAN 15 2022. (15/22762-5)

GOMIDE, OTAVIO M. L.; GUARDIA, MARCEL; SEARA, TERE M.. Critical velocity in kink-defect interaction models: Rigorous results. Journal of Differential Equations, v. 269, n. 4, p. 3282-3346, AUG 5 2020. (15/22762-5)

ANDRADE, KAMILA S.; GOMIDE, OTAVIO M. L.; NOVAES, DOUGLAS D.. Bifurcation diagrams of global connections in Filippov systems. NONLINEAR ANALYSIS-HYBRID SYSTEMS, v. 50, p. 26-pg., 2023-11-01. (19/10269-3, 18/13481-0, 15/22762-5, 22/09633-5)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

GOMIDE, Otávio Marçal Leandro. Sobre condições de estabilidade para sistemas de Filippov e sistemas hamiltonianos. 2019. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.