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GENERALIZED SYNCHRONIZATION IN THE NETWORKS WITH DIRECTED ACYCLIC STRUCTURE
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SYSNO ASEP 0573514 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title GENERALIZED SYNCHRONIZATION IN THE NETWORKS WITH DIRECTED ACYCLIC STRUCTURE Author(s) Čelikovský, Sergej (UTIA-B) RID, ORCID
Lynnyk, Volodymyr (UTIA-B) RID, ORCID
Lynnyk, Anna (UTIA-B) ORCID
Rehák, Branislav (UTIA-B) RID, ORCIDNumber of authors 4 Source Title Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954
Roč. 59, č. 3 (2023), s. 437-460Number of pages 24 s. Publication form Print - P Language eng - English Country CZ - Czech Republic Keywords Generalized Lorenz system ; Generalized synchronization ; Chaos ; Networks Subject RIV BC - Control Systems Theory OECD category Automation and control systems R&D Projects GA21-03689S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support UTIA-B - RVO:67985556 UT WOS 001039582300006 EID SCOPUS 85165295615 DOI 10.14736/kyb-2023-3-0437 Annotation Generalized synchronization in the direct acyclic networks, i.e. the networks represented by the directed tree, is presented here. Network nodes consist of copies of the so-called generalized Lorenz system with possibly different parameters yet mutually structurally equivalent. The difference in parameters actually requires the generalized synchronization rather than the identical one. As the class of generalized Lorenz systems includes the well-known particular synchronized using the presented approach as well. The main theorem is rigorously mathematically formulated and proved in detail. Extensive numerical simulations are included to illustrate and further substantiate these theoretical results. Moreover, during these numerical experiments, the so-called duplicated system approach is used to double-check the generalized synchronization. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2024 Electronic address https://www.kybernetika.cz/content/2023/3/437
Number of the records: 1