Some Topological Approaches for Random Dynamical Systems
Department of Applied Mathematics
Illinois Institute of Technology
Random dynamical systems are nonlinear systems under uncertainty. Stochastic analytical tools are usually applied to investigate these systems. More recently, topological techniques are being considered in the context of random dynamical systems.
The speaker presents some recent work on bifurcation and chain recurrent sets for random dynamical systems, using concepts of Conley index and Conley decomposition.