GENERALIZED SYNCHRONIZATION IN THE NETWORKS WITH DIRECTED ACYCLIC STRUCTURE

0573514 - ÚTIA 2024 RIV CZ eng J - Článek v odborném periodiku
Čelikovský, Sergej - Lynnyk, Volodymyr - Lynnyk, Anna - Rehák, Branislav
GENERALIZED SYNCHRONIZATION IN THE NETWORKS WITH DIRECTED ACYCLIC STRUCTURE.
Kybernetika. Roč. 59, č. 3 (2023), s. 437-460. ISSN 0023-5954
Grant CEP: GA ČR(CZ) GA21-03689S
Institucionální podpora: RVO:67985556
Klíčová slova: Generalized Lorenz system * Generalized synchronization * Chaos * Networks
Obor OECD: Automation and control systems
Impakt faktor: 0.5, rok: 2022
Způsob publikování: Open access
http://library.utia.cas.cz/separaty/2023/TR/celikovsky-0573514.pdf https://www.kybernetika.cz/content/2023/3/437

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.
Trvalý link: https://hdl.handle.net/11104/0344014