Wednesday, May 26

Stochastic Stability of Dynamical Systems

10:00 AM-12:00 PM
Room: Superior B

The behavior of dynamical systems under random perturbation is of vital importance in applications and modelling. Hyperbolic dynamical systems are one class in which the behavior under random perturbation is partially understood and this knowledge has proved useful in calculating dynamical invariants and invariant measures. This minisymposium will discuss such results and also address recent results for another class of important model systems: forced or skew product systems. These results concern the existence, regularity and stability properties of invariant graphs in forced systems, and are important in understanding the stability of chaotic synchronized systems to noise, and dimension increase in recursive filters. The intended audience includes workers in nonlinear signal processing and applied dynamical systems.

Organizers: Jaroslav Stark
University College London, United Kingdom
Matthew J. Nicol
University of Manchester Institute of Science and Technology, Manchester, United Kingdom

10:00-10:25 Graphs and the Stability of Stochastically Forced Systems
Jaroslav Stark, Organizer
Cancelled 10:30-10:55 Approximation of Invariant Measures for Random Compositions of Maps
Anders Oberg, Uppsala University, Sweden
10:30-10:55 NewStochastic Stability and Ulam's Method
Rua Murray, University of Victoria, Canada
11:00-11:25 Stability of Attractors in Forced Systems
Matthew J. Nicol, Organizer
11:30-11:55 Attractors, Chain Transitive Sets and Invariant Measures
Fern Hunt, National Institute of Standards and Technology, Gaithersburg

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LMH, 1/11/99, MMD, 4/30/99