Study of Discontinuous Piecewise Linear Vector Fields via Averaging Method

• Grant number: 12/12222-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2012
• End date: September 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Maurício Firmino Silva Lima
• Grantee: Hélcio Martinho Júnior
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Santo André , SP, Brazil

Abstract

In this project we will study perturbations of linear centers in dimension 2 and 4, in order to find conditions for existence of limit cycles that bifurcate from these centers. We are also interested in finding invariant sets and studying the dynamics in their interior. These problems are frequent in control theory.