Dynamics in discontinuous systems and in continuous systems near systems with symmetries

• Grant number: 12/12025-5
• Support Opportunities: Scholarships abroad - Research
• Start date: September 01, 2012
• End date: November 30, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Maurício Firmino Silva Lima
• Grantee: Maurício Firmino Silva Lima
• Host Investigator: Jaume Llibre
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Institution abroad: Universitat Autònoma de Barcelona (UAB), Spain
• Associated research grant: 07/06896-5 - Geometry of control, dynamical and stochastic systems, AP.TEM

Abstract

This research project is divided into two parts. At first the one the main objective is to study the persistence of homoclinic solutions in a neighborhood of a degenerate equilibrium point of a vector field that is e-close to a symmetric vector field. In the second part we will study the existence of limit cycles that can bifurcate from a non smooth perturbation of a linear center. (AU)

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)

SILVA LIMA, MAURICIO FIRMINO; LLIBRE, JAUME. Global dynamics of the Benoit system. Annali di Matematica Pura ed Applicata, v. 193, n. 4, p. 1103-1122, AUG 2014. (12/12025-5)