Control and Synchronization of the Genesio-Tesi Chaotic System: A Contraction Analysis-Based Graphical Method
نویسندگان
1 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
2 Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.
3 Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.
doi
10.30473/coam.2023.65079.1211چکیده
In this paper, we use a graphical algorithm to control and synchronization of a chaotic system. Most of the controllers designed for synchronizing chaotic systems are complex, but the controllers designed using contraction and graphical methods are often simple and linear. Therefore, we explain the relationship between contraction analysis and the graphical method for controlling and synchronizing chaotic systems. We apply this approach to control and synchronize the chaotic Genesio-Tesi system. The stability of the error system in synchronization is investigated using the contraction method. Finally, we provide numerical simulations to demonstrate the effectiveness of the proposed method.
