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Study of discontinuous piecewise linear vector fields via Averaging Method

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