Asymptotically stable discrete dynamical systems

• Grant number: 09/16825-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: February 01, 2010
• End date: July 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Benito Frazao Pires
• Grantee: Jonny Mateus Rodrigues
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
• Associated research grant: 09/02380-0 - Flows on surfaces and exchange transformations, AP.JP

Abstract

This research proposal approaches the theory of asymptotically stable discrete dynamical systems. In this respect, it may be divided into two parts:the first one consists of an introduction to the general theory of discrete dynamical systems whereas the second part embraces the study of spectral conditions that ensures the asymptotic stability of the system.