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

• Grant number: 07/07843-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: September 01, 2008
• End date: January 31, 2009
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Aguinaldo Buzzi
• Grantee: Luci Any Francisco Roberto
• 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
• 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)