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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2023, Volume 49, Issue 17, Pages 39–42
DOI: https://doi.org/10.21883/PJTF.2023.17.56087.19622 (Mi pjtf7066) 		 
The possibility of quantitative determination of the boundary of generalized synchronization using nearest neighbor and phase tube methods

O. I. Moskalenkoab, O. A. Kirillovab

a Saratov State University, Saratov, Russia
b Regional Scientific and Educational Mathematical Center "Mathematics of Future Technologies", Saratov, Russia
Full-text PDF (248 kB)
DOI: https://doi.org/10.21883/PJTF.2023.17.56087.19622
Abstract: The possibility of quantitative determination of the generalized synchronization boundary in two mutually coupled systems with different attractor topology using the nearest neighbor and phase tube methods has been established. The obtained results have been compared with the results of calculating the spectrum of Lyapunov exponents for interacting systems. Estimation of the accuracy of determining the generalized synchronization boundary in comparison with known methods and approaches has been made. The obtained results have been illustrated using the examples of Ressler systems, Lorenz oscillators, Chua and Kiyashko–Pikovsky–Rabinovich generators.
Keywords: generalized synchronization, mutually coupled systems, spectrum of Lyapunov exponents, nearest neighbor method, phase tube method.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МД-18.2022.1.2
This study was supported financially by the Grant Council of the President of the Russian Federation for state support of young Russian scientists and leading scientific schools in the Russian Federation (project No. MD-18.2022.1.2).
Received: 05.05.2023
Revised: 24.06.2023
Accepted: 10.07.2023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. I. Moskalenko, O. A. Kirillov, “The possibility of quantitative determination of the boundary of generalized synchronization using nearest neighbor and phase tube methods”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 49:17 (2023), 39–42
Citation in format AMSBIB
\Bibitem{MosKir23}
\by O.~I.~Moskalenko, O.~A.~Kirillov
\paper The possibility of quantitative determination of the boundary of generalized synchronization using nearest neighbor and phase tube methods
\jour Pisma v Zhurnal Tekhnicheskoi Fiziki
\yr 2023
\vol 49
\issue 17
\pages 39--42
\mathnet{http://mi.mathnet.ru/pjtf7066}
\crossref{https://doi.org/10.21883/PJTF.2023.17.56087.19622}
\elib{https://elibrary.ru/item.asp?id=54396522}
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