Chaotic Dynamics and Control of a Discrete-Time Chen System

Autor:	Sarker Md. Sohel Rana, Md. Jasim Uddin, P. K. Santra, G. S. Mahapatra
Rok vydání:	2023
Předmět:	General Mathematics General Engineering
Zdroj:	Mathematical Problems in Engineering. 2023:1-20
ISSN:	1563-5147 1024-123X
Popis:	We investigate a discrete-time Chen system. First, we give the topological classifications of the fixed points of this system. Then, we analytically show that the discrete Chen system underlies a Neimark–Sacker (NS) bifurcation and period doubling (PD) under specific parametric circumstances. We confirm the existence of a PD and NS bifurcation via the explicit PD-NS bifurcation criterion and determine the direction of both bifurcations with the help of center manifold theory. We performed numerical simulations to confirm our analytical results. Furthermore, we use the 0-1 chaos test to quantify whether there is chaos in the system or not. At the end, the hybrid control strategy and the OGY (Ott, Grebogi, and Yorke) method are applied to eliminate chaotic trajectories of the system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d588278b98bf864c8c9830d1c27c185f https://doi.org/10.1155/2023/7795246 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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