10. Synchronization of Novel 5D Hyperchaotic Systems Based on Center Translation Method

Hong Niu
Faculty College of Electronic Information and Automation, Tianjin University of Science & Technology, China
pp. 122–127
ABSTRACT
In this paper, synchronization of novel five-dimensional (5D) autonomous hyperchaotic systems is studied. The synchronization control law is proposed based on the center translation method. A structure compensator is formulated to make the mathematical model of the error system the same as that of the response system, and a linear feedback controller and its simplification are designed via the Lyapunov stability theory to make the error system globally asymptotically stable at the origin. Thus, the two 5D hyperchaotic systems with different initial values are synchronized. Some relevant numerical simulation results, such as the curves of the corresponding synchronization state variables and the errors, are given to illustrate the feasibility and effectiveness of the synchronization control law..

ARTICLE INFO
Article History
Received 23 November 2021
Accepted 23 November 2022

Keywords
Novel 5D hyperchaotic system
Hyperchaos synchronization
Center translation method
Lyapunov stability theory
Global asymptotic stability

J-STAGE3210

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