Dynamical Systems Research
- 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.
- Topological Dynamics. Topological groups and enveloping semigroups.
- Bifurcation theory and some ergodic theory in Smooth Dynamical Systems.
- Bifurcation theory of Random Dynamical Systems.
Dynamical systems: nonlinear dynamics; traveling waves; pattern formation; infinite dimensional dynamical systems.