UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: Friday (11/11/2005) at 2:00pm in 487 Pickard Hall

Speaker: Dr. Zdzislaw Musielak, Professor
Department of Physics, University of Texas at Arlington


"Routes to Chaos in Systems with Multiple Degrees of Freedom"

Abstract: Transition to chaos has been a fundamental and central problem in the study of nonlinear dynamical systems. In low-dimensional (3-D) chaotic systems, this transition occurs via one of the following four known routes: period-doubling, quasi-periodicity, intermittency and crisis. I shall present recent results showing changes in routes to chaos with increasing number of degrees of freedom and discuss high-dimensional systems that exhibit new routes to chaos.