Circuitry implementation of a novel four-dimensional nonautonomous hyperchaotic Liu system and its experimental studies on synchronization control
Luo Xiao-Hua(罗小华)a)†, Zhou Wei(周围)a), Li Rui(李锐)a), Liang Yi-Long(梁亦龙)b), and Luo Ming-Wei(罗明伟)c)
aCollege of Communication and Information Engineering, Chongqing University of Posts and Telecom, Chongqing 400065, China; b College of Biological Information, Chongqing University of Posts and Telecom, Chongqing 400065, China; cCollege of Automation, Chongqing University of Posts and Telecom, Chongqing 400065, China
Abstract Based on the three-dimensional Liu chaotic system, this paper appends a feedback variable to construct a novel hyperchaotic Liu system. Then, a control signal is further added to construct a novel nonautonomous hyperchaotic Liu system. Through adjusting the frequency of the control signal, the chaotic property of the system can be controlled to show some different dynamic behaviors such as periodic, quasi-periodic, chaotic and hyperchaotic dynamic behaviours. By numerical simulations, the Lyapunov exponent spectrums, bifurcation diagrams and phase diagrams of the two new systems are studied, respectively. Furthermore, the synchronizing circuits of the nonautonomous hyperchaotic Liu system are designed via the synchronization control method of single variable coupling feedback. Finally, the hardware circuits are implemented, and the corresponding waves of chaos are observed by an oscillograph.
Received: 22 November 2008
Revised: 05 January 2009
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 60572089) and the
Natural Science Foundation of Chongqing (Grant No CSTC,
2008BB2087).
Cite this article:
Luo Xiao-Hua(罗小华), Zhou Wei(周围), Li Rui(李锐), Liang Yi-Long(梁亦龙), and Luo Ming-Wei(罗明伟) Circuitry implementation of a novel four-dimensional nonautonomous hyperchaotic Liu system and its experimental studies on synchronization control 2009 Chin. Phys. B 18 2168
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