Singular perturbations and discontinuous vector fields

• Grant number: 07/05168-6
• Support Opportunities: Scholarships abroad - Research
• Effective date (Start): January 07, 2008
• Effective date (End): March 06, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paulo Ricardo da Silva
• Grantee: Paulo Ricardo da Silva
• Host Investigator: Jaume Llibre
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Research place: Universitat Autònoma de Barcelona (UAB), Spain

Abstract

In previous works we studied non-smooth systems through methods of Geometric Singular Perturbation Theory. The main result states that after regularization and a global blow-up we get a singular problem for which the center manifold and the sliding region are homeomorphic. We will study the local behavior around self intersections of the discontinuity surface. (AU)