Volume 71, Number 3, August 2005
|Page(s)||466 - 472|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||06 July 2005|
Detection of synchronization for non-phase-coherent and non-stationary data
Institute of Physics, University of Potsdam Am Neuen Palais 10, 14469 Potsdam, Germany
2 Department of Chemical Engineering, University of Virginia 102 Engineers Way, Charlottesville, VA 22904-479, USA
Accepted: 6 June 2005
We present a new method to detect phase as well as generalized synchronization in a wide class of complex systems. It is based on the recurrences of the system's trajectory to the neighborhood of a former state in phase space. We illustrate the applicability of the algorithm for the paradigmatic chaotic Rössler system in the funnel regime and for noisy data, where other methods to detect phase synchronization fail. Furthermore, we demonstrate for electrochemical experiments that the method can easily detect phase and generalized synchronization in non-phase-coherent and even non-stationary time series.
PACS: 82.40.Bj – Oscillations, chaos, and bifurcations / 83.85.Ns – Data analysis (interconversion of data computation of relaxation and retardation spectra; time-temperature superposition, etc.)
© EDP Sciences, 2005
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