0573514 20240903170654.520230712235959.9 85165295615 001039582300006 10.14736/kyb-2023-3-0437 GENERALIZED SYNCHRONIZATION IN THE NETWORKS WITH DIRECTED ACYCLIC STRUCTURE 24 s. P cav_un_epca*02971630023-5954Kybernetika593 (2023)437-460Ústav teorie informace a automatizace AV ČR, v. v. i. Generalized Lorenz system Generalized synchronization Chaos Networks cav_un_auth*0101074 Čelikovský Sergej UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0215855 Lynnyk Volodymyr UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0414979 Lynnyk Anna UTIA-B Teorie řízení Department of Control Theory TŘ TR CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0216347 Rehák Branislav UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 1,59 MB http://library.utia.cas.cz/separaty/2023/TR/celikovsky-0573514.pdf https://www.kybernetika.cz/content/2023/3/437 GA21-03689S GA ČR CZ cav_un_auth*0410139 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. WOS BC 20000 20200 20205 2024 4 RVO:67985556 https://hdl.handle.net/11104/0344014 S Article Computer Science Cybernetics A COMPUTERSCIENCE.CYBERNETICS 0.7 0.7 17.1 0.00045 0.192 999 43 0.275 30.7 0.83 128 Q3 0.700 43 Q4 20.3 Q4 Q4 0.11 Q4 20.3 2023 85165295615 SCOPUS PUBMED 001039582300006 WOS 1,59 MB cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 59 č. 3 2023 437 460 Ústav teorie informace a automatizace AV ČR, v. v. i.