中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2829-2836.doi: 10.1088/1674-1056/17/8/014

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Circuit implementation of a new hyperchaos in fractional-order system

刘崇新, 刘 凌   

  1. School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China\State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an 710049, China
  • 收稿日期:2008-01-09 修回日期:2008-02-24 出版日期:2008-08-20 发布日期:2008-08-20

Circuit implementation of a new hyperchaos in fractional-order system

.. Liu Chong-Xin(刘崇新) and Liu Ling(刘凌)   

  1. School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China; State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an 710049, China
  • Received:2008-01-09 Revised:2008-02-24 Online:2008-08-20 Published:2008-08-20

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摘要： This paper introduces a new four-dimensional (4D) hyperchaotic system, which has only two quadratic nonlinearity parameters but with a complex topological structure. Some complicated dynamical properties are then investigated in detail by using bifurcations, Poincar\'{e} mapping, LE spectra. Furthermore, a simple fourth-order electronic circuit is designed for hardware implementation of the 4D hyperchaotic attractors. In particular, a remarkable fractional-order circuit diagram is designed for physically verifying the hyperchaotic attractors existing not only in the integer-order system but also in the fractional-order system with an order as low as 3.6.

关键词: hyperchaotic system, fractional-order system, integer-order chaotic circuit, fractional-order circuit

Abstract: This paper introduces a new four-dimensional (4D) hyperchaotic system, which has only two quadratic nonlinearity parameters but with a complex topological structure. Some complicated dynamical properties are then investigated in detail by using bifurcations, Poincaré mapping, LE spectra. Furthermore, a simple fourth-order electronic circuit is designed for hardware implementation of the 4D hyperchaotic attractors. In particular, a remarkable fractional-order circuit diagram is designed for physically verifying the hyperchaotic attractors existing not only in the integer-order system but also in the fractional-order system with an order as low as 3.6.

Key words: hyperchaotic system, fractional-order system, integer-order chaotic circuit, fractional-order circuit

中图分类号:  (Communication using chaos)

  • 05.45.Vx
05.45.Df (Fractals) 84.30.-r (Electronic circuits)