Circuitry implementation of a novel four-dimensional nonautonomous hyperchaotic Liu system and its experimental studies on synchronization control  

作　　者：罗小华 周围 李锐 梁亦龙 罗明伟 

机构地区：[1]College of Communication and Information Engineering,Chongqing University of Posts and Telecom [2]College of Biological Information, Chongqing University of Posts and Telecom [3]College of Automation, Chongqing University of Posts and Telecom

出　　处：《Chinese Physics B》2009年第6期2168-2175,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No 60572089);the Natural Science Foundation of Chongqing (Grant No CSTC,2008BB2087)

摘　　要：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.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.

关 键 词：Liu chaotic system Liu hyperchaotic system nonautonomous system synchronization control 

分 类 号：O415.5[理学—理论物理] TP273[理学—物理]