GENERALIZED SYNCHRONIZATION IN THE NETWORKS WITH DIRECTED ACYCLIC STRUCTURE

0573514 - ÚTIA 2024 RIV CZ eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA21-03689S
Institutional support: RVO:67985556
Keywords : Generalized Lorenz system * Generalized synchronization * Chaos * Networks
OECD category: Automation and control systems
Impact factor: 0.5, year: 2022
Method of publishing: 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.
Permanent Link: https://hdl.handle.net/11104/0344014