Generalized synchronization of chaotic systems in a master-slave configuration

0543057 - ÚTIA 2022 RIV US eng C - Conference Paper (international conference)
Lynnyk, Volodymyr - Čelikovský, Sergej
Generalized synchronization of chaotic systems in a master-slave configuration.
Proceedings of the 2021 23rd International Conference on Process Control (PC). Piscataway: IEEE, 2021 - (Paulen, R.; Fikar, M.), s. 37-42, č. článku 034. ISBN 978-1-6654-0329-0.
[International Conference on Process Control 2021 /23./. Štrbské Pleso (SK), 01.06.2021-04.06.2021]
R&D Projects: GA ČR(CZ) GA19-05872S
Institutional support: RVO:67985556
Keywords : Generalized Lorenz system * Generalized synchronization * Chaotic systems
OECD category: Automation and control systems

This paper derives for the generalized Lorenz system (GLS) its equivalent via nonlinear change of state coordinates that allows to synchronize two copies of GLS in masterslave configuration using scalar synchronizing connection only. Furthermore, it provides sufficient conditions to achieve the generalized synchronization of two different copies of GLS in the same configurations. Finally, the possible application of this result to study of the generalized synchronization in GLS equivalent to classical Lorenz system and GLS equivalent to Chen chaotic system is presented.
Permanent Link: http://hdl.handle.net/11104/0320437