title: Locking-based frequency measurement and synchronization of chaotic oscillators with complex dynamics.
abstract: We propose a method for the determination of a characteristic oscillation frequency for a broad class of chaotic oscillators generating complex signals. It is based on the locking of standard periodic self-sustained oscillators by an irregular signal. The method is applied to experimental data from chaotic electrochemical oscillators, where other approaches of frequency determination (e.g., based on Hilbert transform) fail. Using the method we characterize the effects of phase synchronization for systems with ill-defined phase by external forcing and due to mutual coupling.
authors.affiliation: Department of Physics, University of Potsdam, Am Neuen Palais, PF 601553, D-14415, Potsdam, Germany.
authors.forename: Michael G
authors.initials: MG
authors.lastname: Rosenblum
authors.forename: Arkady S
authors.initials: AS
authors.lastname: Pikovsky
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
authors.forename: Grigory V
authors.initials: GV
authors.lastname: Osipov
authors.forename: István Z
authors.initials: IZ
authors.lastname: Kiss
authors.forename: John L
authors.initials: JL
authors.lastname: Hudson