title: Phase synchronization of chaotic rotators.
abstract: We demonstrate the existence of phase synchronization of two chaotic rotators. Contrary to phase synchronization of chaotic oscillators, here the Lyapunov exponents corresponding to both phases remain positive even in the synchronous regime. Such frequency locked dynamics with different ratios of frequencies are studied for driven continuous-time rotators and for discrete circle maps. We show that this transition to phase synchronization occurs via a crisis transition to a band-structured attractor.
authors.affiliation: Institute of Physics, University Potsdam, 10, Am Neuen Palais, D-14415 Potsdam, Germany.
authors.forename: Grigory V
authors.initials: GV
authors.lastname: Osipov
authors.forename: Arkady S
authors.initials: AS
authors.lastname: Pikovsky
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths