title: Frobenius-perron resonances for maps with a mixed phase space
abstract: Resonances of the time evolution (Frobenius-Perron) operator P for phase space densities have recently been shown to play a key role for the interrelations of classical, semiclassical, and quantum dynamics. Efficient methods to determine resonances are thus in demand, in particular, for Hamiltonian systems displaying a mix of chaotic and regular behavior. We present a powerful method based on truncating P to a finite matrix which not only allows us to identify resonances but also the associated phase space structures. It is demonstrated to work well for a prototypical dynamical system.
authors.affiliation: Fachbereich Physik, Universitat-GH Essen, 45117 Essen, Germany.
authors.initials: J
authors.lastname: Weber
authors.initials: F
authors.lastname: Haake
authors.initials: P
authors.lastname: Seba