The type of transition from asynchronous behavior to the generalized synchronization regime in mutually coupled chaotic oscillators has been studied. To separate the epochs of the synchronous and asynchronous motion in time series of mutually coupled chaotic oscillators, a method based on the local Lyapunov exponent calculation has been proposed. The efficiency of the method has been testified using the examples of unidirectionally coupled dynamical systems for which the type of transition is well known. The transition to generalized synchronization regime in mutually coupled systems has been shown to be an on-off intermittency as well as in the case of the unidirectional coupling.
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Nat Commun
January 2025
Department of Civil and Systems Engineering, Johns Hopkins University, Baltimore, MD, USA.
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National Wine Agency of Georgia, Tbilisi 0159, Georgia.
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Institute of Power Plant Technology, Steam and Gas Turbines, RWTH Aachen University, 52062 Aachen, Germany.
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Beijing Institute of Radio Measurement, Beijing 100854, China.
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Institute of Information Science, Beijing Jiaotong University, Beijing 100044, China.
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