Circuitry implementation of a novel four-dimensional nonautonomous hyperchaotic Liu system and its experimental studies on synchronization control |
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Authors: | Luo Xiao-Hu Zhou Wei Li Rui Liang Yi-Long and Luo Ming-Wei |
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Institution: | College of Communication and Information Engineering, Chongqing University of Posts and Telecom, Chongqing 400065, China; College of Biological Information, Chongqing University of Posts and Telecom, Chongqing 400065, China; College of Automation, Chongqing University of Posts and Telecom, Chongqing 400065, China |
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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. |
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Keywords: | Liu chaotic system Liu hyperchaotic system nonautonomous system synchronization control |
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