What is Dynamical Systems?

Winfried Just

• Relationships between various types of dynamical systems models for the same natural system and applications to biology, particularly to gene regulatory networks, neuronal networks, and disease transmission networks.

Vladimir Uspenskiy

• Topological Dynamics. Topological groups and enveloping semigroups.

Todd Young

• Bifurcation theory and some ergodic theory in Smooth Dynamical Systems.
• Bifurcation theory of Random Dynamical Systems.

Qiliang Wu

• Dynamical systems: nonlinear dynamics; traveling waves; pattern formation; infinite dimensional dynamical systems.