Random dynamical systems

• Grant number: 06/04800-8
• Support Opportunities: Scholarships abroad - Research
• Start date: January 10, 2007
• End date: May 28, 2007
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Vanderlei Minori Horita
• Grantee: Vanderlei Minori Horita
• Host Investigator: Michael Shub
• 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
• Institution abroad: University of Toronto (U of T), Canada

Abstract

In general, a physical system in nature has a large number of independent variables. Mathematical models are used to study such systems. These models are simplifications of the real systems: we consider the most relevant variables and the others or are not involved or they are considered as a noise (random perturbations). In the former case, we have a deterministic dynamical system and in the last case, a random dynamical system. Given a random dynamical system, we will study which are the possible deterministic dynamical systems that has the base dynamics. (AU)