Mathematics

Research

     My principle research area is dynamical systems. A dynamical system consists of a manifold whose points represent the possible states of the system, "time" which may be continuous or discrete, and the time-evolution law.
      In some nonlinear systems close initial states of the system lead to a very different behavior of the system in its future. Such a phenomenon is known as chaos. As a consequence, the behavior of the system appears to be random despite the fact that system is deterministic.

      Below is a gallery of strange attractors and fractals obtained by my students and me while conducting numerical experiments in dynamical systems.