title: Rescaling invariance and anomalous transport in a stochastic layer.
abstract: The anomalous chaotic transport in a one-degree-of-freedom Hamiltonian system subjected to a small time-periodic perturbation is investigated. Strong quasiperiodic dependencies of the statistical properties of the motion on log epsilon are found, where epsilon is a perturbation parameter. The period log lambda depends on the rescaling parameter lambda, which is determined only by the frequency of perturbation and behavior of unperturbed Hamiltonian near a saddle point. The results confirm and generalize a recently established new universal rescaling property of perturbed motion near a saddle point.
authors.affiliation: Institut für Theoretische Physik I, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany.
authors.forename: S S
authors.initials: SS
authors.lastname: Abdullaev
authors.forename: K H
authors.initials: KH
authors.lastname: Spatschek