## Special Colloquium: James Yorke (UMCP)

#### Renowned Dynamical Systems Expert

This is an excellent opportunity to see a renowned speaker on dynamical systems theory and applications. Dr. Yorke has worked on many classical problems in dynamical systems, and has foundational results, including for chaotic systems. His work has been cited more than 50,000 times.

Title: "What is the graph of a dynamical system? From maps to diffusive partial differential equations"

Joint work with Roberto De Leo

Abstract: Frequently we describe a dynamical system in terms of its attractors, but that can leave out important information about unstable invariant sets. A directed graph of a dynamical system is a picture that outlines how the various invariant sets of a dynamical system are related. The simplest example is of the logistic map. Its graph can be extremely complicated. There are dynamical systems with infinitely many attractors, and we want to know how these are dynamically related.