Dynamical systems describe the evolution of a state variable in time in the form of ordinary differential equations or as discrete mappings. Dynamical systems theory studies the solutions of such equations and mappings and their dependence on initial conditions and parameters. Research in nonlinear dynamical systems in particular is interested in qualitative changes of the solution type as parameters are changed (bifurcations) and in chaotic behavior of solutions. Applications include atmospheric science, the behavior of fluids, social and biological systems.
Our areas of expertise
Computational fluid dynamics, environmental and geophysical modeling, industrial modeling, complex adaptive systems, and partial differential equations.