## Research

My principal research area is dynamical systems
theory and applications. A dynamical system consists of a manifold
whose points represent possible states of the system, "time" which may
be continuous or discrete, and a time-evolution law.

In some nonlinear systems, similar initial states
of the system will lead to very different future states. Such a
phenomenon is known as chaos. As a consequence, the behavior of the
system appears to be random despite the fact that the system is
deterministic.