Unfolding Heterodimensional Cycles for volume preserving diffeomorphisms

• Grant number: 10/18664-4
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2011
• End date: August 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Vanderlei Minori Horita
• Grantee: Thiago Aparecido Catalan
• 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 study robust or generic properties for a large set of families of volume preserving diffeomorphisms unfolding heterodimensional cycles. Also we will look for non hyperbolic ergodic invariant measures for those diffeomorphisms.