title: Phase synchronization of chaotic oscillations in terms of periodic orbits.
abstract: We consider phase synchronization of chaotic continuous-time oscillator by periodic external force. Phase-locking regions are defined for unstable periodic cycles embedded in chaos, and synchronization is described in terms of these regions. A special flow construction is used to derive a simple discrete-time model of the phenomenon. It allows to describe quantitatively the intermittency at the transition to phase synchronization. (c) 1997 American Institute of Physics.
authors.affiliation: Department of Physics, University of Potsdam, Am Neuen Palais, PF 601553, D-14415, Potsdam, Germany.
authors.forename: Arkady
authors.initials: A
authors.lastname: Pikovsky
authors.forename: Michael
authors.initials: M
authors.lastname: Zaks
authors.forename: Michael
authors.initials: M
authors.lastname: Rosenblum
authors.forename: Grigory
authors.initials: G
authors.lastname: Osipov
authors.forename: Jurgen
authors.initials: J
authors.lastname: Kurths