title: Return time dynamics as a tool for finding almost invariant sets.
abstract: The primary goal of transport theory is to compute the rate at which parts of the phase space of a given dynamical system move from one region to another. In this paper we present a new approach for the identification of those regions in phase space that are relevant for transport computations. More concretely, we construct a decomposition into almost invariant sets-that is, those sets that represent the main sources and sinks for transport phenomena-using return time dynamics. We illustrate this technique by partitioning a certain Poincaré section in the planar circular restricted three body problem into various sets.
authors.affiliation: Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, 33095 Paderborn, Germany. thiere@math.uni-paderborn.de
authors.forename: Bianca
authors.initials: B
authors.lastname: Thiere
authors.forename: Michael
authors.initials: M
authors.lastname: Dellnitz