Research on circuitry implementation of a new hyperchaos Liu system and its synchronization control experiment

Author

Chang, Cai ; Xiao-Hua Luo

Author_Institution

Coll. of Commun. & Inf. Eng., Chongqing Univ. of Posts & Telecom, Chongqing, China

Volume

15

fYear

2010

fDate

22-24 Oct. 2010

Abstract

Based on the three-dimensional Liu chaotic system, a state variable was added to construct a new hyperchaos Liu system. Through numerical simulation, the Lyapunov index spectrum, bifurcation diagram and phase diagram of the new hyperchaos Liu system were studied. Furthermore, its hardware circuits were implemented, and the corresponding waves of chaos were observed by oscillograph. At the same time, by employing the synchronization control method of single variable coupling feedback, the synchronous circuits of the two new hyperchaos Liu system were designed. In addition, the synchronous control was studied via experiments, and the parameter range for controlling the synchronization was found.

Keywords

Lyapunov methods; bifurcation; feedback; nonlinear control systems; synchronisation; Lyapunov index spectrum; bifurcation diagram; hardware circuits; hyperchaos Liu system; numerical simulation; phase diagram; single variable coupling feedback; state variable; synchronization control experiment; three-dimensional Liu chaotic system; Adaptation model; Analytical models; Chaos; Computational modeling; Cryptography; Equations; Mathematical model; Liu system; circuitry realization; hyperchaos system; synchronization control;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Application and System Modeling (ICCASM), 2010 International Conference on

Conference_Location

Taiyuan

Print_ISBN

978-1-4244-7235-2

Electronic_ISBN

978-1-4244-7237-6

Type

conf

DOI

10.1109/ICCASM.2010.5622521

Filename

5622521