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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2020 Volume 46, Issue 16, Pages 12–15 (Mi pjtf5015)

This article is cited in 3 papers

A method of determining the characteristics of intermittent generalized synchronization based on the calculation of local Lyapunov exponents

O. I. Moskalenkoab, E. V. Evstifeevab, A. A. Koronovskiiab

a Saratov State University
b Regional Research and Education Center "Mathematics of Future Technologies", Saratov, Russia

Abstract: Method for the laminar and turbulent phase detection in coupled dynamical systems being near the boundary of the generalized synchronization regime based on the calculation of local Lyapunov exponents has been proposed. The efficiency of the method has been testified using the systems with unidirectional coupling allowing the analysis of intermittency by the auxiliary system approach. The results of both methods have been compared with each other, a good agreement between them has been obtained.

Keywords: generalized synchronization, local Lyapunov exponents, auxiliary system approach, intermittency.

Received: 27.04.2020
Revised: 27.04.2020
Accepted: 12.05.2020

DOI: 10.21883/PJTF.2020.16.49846.18359


 English version:
Technical Physics Letters, 2020, 46:8, 792–795

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© Steklov Math. Inst. of RAS, 2025