Chaos

In recent years research on nonlinear differential equations has become one of the most active areas in applied mathematics. Its most prominent feature has been the characterization of chaotic behavior of solutions of differential equations, i.e. unpredictable and very complicated behavior. Similar behavior occurs in almost all scientific and engineering models from astrophysics to population biology, fluid dynamics and laser physics which offers wide opportunities for interdisciplinary research. Faculty study nonlinear dynamical systems, chaos, fractals and related areas of perturbation theory and ordinary, partial and functional differential equations, in some cases with applications to mathematical biology, flow instabilities, control theory, and other areas.

Faculty

• Dieter Armbruster
• Don Jones
• Eric Kostelich
• Juan Lopez
• Alex Mahalov