中国物理B ›› 2013, Vol. 22 ›› Issue (2): 20502-020502.doi: 10.1088/1674-1056/22/2/020502

• GENERAL • 上一篇    下一篇

A fractional order hyperchaotic system derived from Liu system and its circuit realization

韩强a b, 刘崇新a b, 孙蕾a b, 朱大锐a b   

  1. 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
  • 收稿日期:2012-05-31 修回日期:2012-07-25 出版日期:2013-01-01 发布日期:2013-01-01
  • 基金资助:
    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).

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   

  1. 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
  • Received:2012-05-31 Revised:2012-07-25 Online:2013-01-01 Published:2013-01-01
  • Contact: Liu Chong-Xin E-mail:liucx@mail.xjtu.edu.cn
  • Supported by:
    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).

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摘要： 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.

关键词: fractional order hyperchaotic system, numerical simulation, circuit experiment

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.

Key words: fractional order hyperchaotic system, numerical simulation, circuit experiment

中图分类号:  (Synchronization; coupled oscillators)

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