Department of Mathematics,
Arizona State University
Friday,
October 10, 1997, 3:40 p.m. in GWC Room 604
Finite Precision Representation of the Conley Decomposition
Abstract
In a departure from its customary application, Ulam's
method is used to approximate attractors and basic invariant
sets of finite dimensional dynamical systems. Convergence of the
method is proved for a class of Lyapounov stable attractors that
support an SBR invariant measure. An analogy between the
communication classes of the Ulam Markov chain and the basic sets
of a hyperbolic map is discussed and some applications to
numerical analysis are proposed.
For further information please contact:
mittelmann@asu.edu