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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  


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)

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