Phase Synchronization of Chaotic Intermittent Oscillations

Mikhail V. Ivanchenko, Grigory V. Osipov, Vladimir D. Shalf-eev, and Jürgen Kurths

Phys. Rev. Lett. 92, 134101 – Published 2 April 2004

Abstract

We study phase synchronization effects of chaotic oscillators with a type-I intermittency behavior. The external and mutual locking of the average length of the laminar stage for coupled discrete and continuous in time systems is shown and the mechanism of this synchronization is explained. We demonstrate that this phenomenon can be described by using results of the parametric resonance theory and that this correspondence enables one to predict and derive all zones of synchronization.

Received 9 October 2003

DOI:https://doi.org/10.1103/PhysRevLett.92.134101

Authors & Affiliations

Mikhail V. Ivanchenko¹, Grigory V. Osipov^1,2, Vladimir D. Shalf-eev¹, and Jürgen Kurths²

¹Department of Radiophysics, Nizhny Novgorod University, 23 Gagarin Avenue, 603600 Nizhny Novgorod, Russia
²Institute of Physics, University Potsdam, 10 Am Neuen Palais, D-14415 Potsdam, Germany

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Issue

Vol. 92, Iss. 13 — 2 April 2004

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