A method to detect the characteristics of intermittent generalized synchronization based on calculation of probability of the synchronous regime observation
Moskalenko O. I. 1,2, Koronovskii A. A. 1,2, Selskii A. O. 1,2, Evstifeev E. V.1,2
1Saratov State University, Saratov, Russia
2Regional Scientific and Educational Mathematical Center “Mathematics of Future Technologies”, Saratov, Russia
Email: o.i.moskalenko@gmail.com, alexey.koronovskii@gmail.com, selskiiao@gmail.com, evstifeevev@mail.ru

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A method to define the characteristic phases in the behavior of unidirectionally coupled systems located near the boundary of the generalized chaotic synchronization regime onset based on calculating the probability of the synchronous regime observation in an ensemble of coupled systems is proposed. Using the example of unidirectionally coupled Rossler systems in the band chaos regime, we have shown its efficiency in comparison with other known methods for detecting the characteristics of intermittent generalized synchronization. Keywords: generalized synchronization, intermittent behavior, unidirectionally coupled systems, multistability, laminar phases, probability of the laminar phase observation.
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