MICHAEL DELLNITZ
Department of Mathematics and Computer Science
University of Paderborn
D-33095 Paderborn
Germany
http://
dellnitz@uni-paderborn.de
Abstract:
In this talk we introduce reliable numerical tools for the computation
of
invariant manifolds in dynamical systems. The underlying approach is
based on an adaptive multilevel subdivision scheme generating tight box
coverings of the desired objects. By construction the method allows to
compute invariant manifolds both of arbitrary invariant objects and of
arbitrary dimension. The applicability of these methods will be
illustrated
by several examples, for instance, by the computation of certain
invariant
manifolds of periodic orbits in the restricted three body problem.