Title: Definition of a Chaotic Attractor
Speaker: Professor R Clark Robinson
Speaker Info: Northwestern University
The definition of an attractor used is realted to Conley, but a "minimal" attracting set is taken, i.e., an attracting set with no nontrivial attracting sets as subsets.Date: Tuesday, May 14, 2002
Devaney gave the first defintion of a chaotic map. We adapt his definition to the situation of an attractor. We also discuss the relationship to the definition of Alligood, Sauer, and Yorke, which is given in terms of Lyapunov exponents and omega-limit sets.