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Asymptotically stable discrete dynamical systems

Grant number: 09/16825-3
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): February 01, 2010
Effective date (End): July 31, 2010
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Benito Frazao Pires
Grantee:Jonny Mateus Rodrigues
Home 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.