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Study of reversible systems in two-dimensional embedding manifolds in R3

Grant number: 07/07843-2
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): September 01, 2008
Effective date (End): January 31, 2009
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Claudio Aguinaldo Buzzi
Grantee:Luci Any Francisco Roberto
Home 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
Associated research grant:07/06896-5 - Geometry of control, dynamical and stochastic systems, AP.TEM

Abstract

We will work with Cr reversible vector fields in R3, where r is bigger than 2, reversible with respect to an involution in R3. Such vector fields are invariant on two-dimensional submanifold M2 embedded in R3. Let S be the set of fixed points of the involution. The set S is a submanifold of M2. We will study the structural stability of the set of these vector fields and also the generic one-parameter families of such vector fields. (AU)

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