中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3295-3302.doi: 10.1088/1674-1056/18/8/033

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Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation

杨世平1, 张若洵2   

  1. (1)College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China;Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016, China; (2)College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China;Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016, China;College of Elementary Education, Xingtai University, Xingtai 054001, China
  • 收稿日期:2008-08-15 修回日期:2009-01-07 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Hebei Province, China (Grant Nos A2008000136 and A2006000128).

Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation

Zhang Ruo-Xun(张若洵)a)b)c) and Yang Shi-Ping (杨世平)a)b)†   

  1. a College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China; b Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016, China; c College of Elementary Education, Xingtai University, Xingtai 054001, China
  • Received:2008-08-15 Revised:2009-01-07 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    Project supported by the Natural Science Foundation of Hebei Province, China (Grant Nos A2008000136 and A2006000128).

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摘要： The chaotic behaviours of a fractional-order generalized Lorenz system and its synchronization are studied in this paper. A new electronic circuit unit to realize fractional-order operator is proposed. According to the circuit unit, an electronic circuit is designed to realize a 3.8-order generalized Lorenz chaotic system. Furthermore, synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method. Circuit experiment simulation results verify the effectiveness of the proposed scheme.

Abstract: The chaotic behaviours of a fractional-order generalized Lorenz system and its synchronization are studied in this paper. A new electronic circuit unit to realize fractional-order operator is proposed. According to the circuit unit, an electronic circuit is designed to realize a 3.8-order generalized Lorenz chaotic system. Furthermore, synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method. Circuit experiment simulation results verify the effectiveness of the proposed scheme.

Key words: chaos, fractional-order generalized Lorenz chaotic system, circuit simulation, synchronization

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)