Thursday, May 27

Set-Oriented Methods in the Study of Dynamical Systems

10:00 AM-12:00 PM
Room: Maybird

Nonlinear dynamical systems are often studied by simply computing long trajectories. This minisymposium presents alternative methods based on set-oriented algorithms for the study of invariant manifolds, chaotic and random dynamical systems and experimental data. These methods provide new insights that could not be obtained by long term simulation. They have applications to spacecraft missions, analysis of experimental time series and bifurcations in chaotic or random dynamical systems. Anyone who is frustrated at the lack of information contained in long term simulations should attend this session.

Organizers: Philip J. Aston
University of Surrey, United Kingdom
Michael Dellnitz
Universität Bayreuth, Germany

10:00-10:25 Computation of Lyapunov Exponents via Spatial Integration with Application to Blowout Bifurcations
Philip J. Aston, and Michael Dellnitz, Organizers
10:30-10:55 The Numerical Computation of Rigorous Coverings for Invariant Manifolds
Michael Dellnitz, Organizer, and Oliver Junge, Universität Bayreuth, Germany
11:00-11:25 Symbolic Dynamics for Time Series
Konstantin Mischaikow, Georgia Institute of Technology; M. Mrozek, Uniwersytet Jagiellonski, Krakow, Poland; J. Reiss and A. Szymczak, Georgia Institute of Technology
11:30-11:55 Numerical Approximation of Random Attractors
Hannes Keller and Günter Ochs, Universität Bremen, Germany

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LMH, 1/11/99, MMD, 3/4/99