Marcio Gameiro, Rutgers University

Abstract

We discuss combinatorial methods based on algebraic topology to extract global dynamics from a discretized dynamical system. We represent the discretized dynamical system as a map on a cell complex and use this map and the associated cell complex to extract the regions of interest and to compute algebraic topological indices that provide information about the dynamics. The main focus of this talk will be on software packages available to perform  these computations. We will also discuss some of the algorithms used and present examples for ODEs and maps.

Video