title: Effective dynamics in Hamiltonian systems with mixed phase space.
abstract: An adequate characterization of the dynamics of Hamiltonian systems at physically relevant scales has been largely lacking. Here we investigate this fundamental problem and we show that the finite-scale Hamiltonian dynamics is governed by effective dynamical invariants, which are significantly different from the dynamical invariants that describe the asymptotic Hamiltonian dynamics. The effective invariants depend both on the scale of resolution and the region of the phase space under consideration, and they are naturally interpreted within a framework in which the nonhyperbolic dynamics of the Hamiltonian system is modeled as a chain of hyperbolic systems.
authors.affiliation: Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany. motter@mpipks-dresden.mpg.de
authors.forename: Adilson E
authors.initials: AE
authors.lastname: Motter
authors.forename: Alessandro P S
authors.initials: AP
authors.lastname: de Moura
authors.forename: Celso
authors.initials: C
authors.lastname: Grebogi
authors.forename: Holger
authors.initials: H
authors.lastname: Kantz