On the Approximation of Complicated Dynamical Behavior
نویسنده
چکیده
We present eecient techniques for the numerical approximation of complicated dynamical behavior. In particular, we develop numerical methods which allow to approximate SBR-measures as well as (almost) cyclic behavior of a dynamical system. The methods are based on an appropriate discretization of the Frobenius-Perron operator, and two essentially diierent mathematical concepts are used: the idea is to combine classical convergence results for nite dimensional approximations of compact operators with results from Ergodic Theory concerning the approximation of SBR-measures by invariant measures of stochastically perturbed systems. The eeciency of the methods is illustrated by several numerical examples.
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