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A fractional order hyperchaotic system derived from Liu system and its circuit realization |
Han Qiang (韩强)a b, Liu Chong-Xin (刘崇新)a b, Sun Lei (孙蕾)a b, Zhu Da-Rui (朱大锐)a b |
a State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China; b School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
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Abstract In this paper we propose a novel four-dimensional fractional order hyperchaotic system derived from Liu system. Electronics workbench (EWB) and Matlab simulations show the dynamical behavior of the proposed four-dimensional fractional order hyperchaotic system. Finally, after separately using EWB and Matlab, an electronic circuit is designed to realize the novel four-dimensional fractional order hyperchaotic system and the experimental circuit results are obtained which are identical to software simulations.
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Received: 31 May 2012
Revised: 25 July 2012
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51177117) and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100201110023). |
Corresponding Authors:
Liu Chong-Xin
E-mail: liucx@mail.xjtu.edu.cn
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Cite this article:
Han Qiang (韩强), Liu Chong-Xin (刘崇新), Sun Lei (孙蕾), Zhu Da-Rui (朱大锐) A fractional order hyperchaotic system derived from Liu system and its circuit realization 2013 Chin. Phys. B 22 020502
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