中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2674-2679.doi: 10.1088/1674-1056/18/7/009

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A novel fractional-order hyperchaotic system and its synchronization

危丽佳1, 程雪峰1, 周平2   

  1. (1)Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; (2)Key Laboratory of Network Control & Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • 收稿日期:2008-11-22 修回日期:2009-01-04 出版日期:2009-07-20 发布日期:2009-07-20
  • 基金资助:
    Project supported by the Key Lab Open Foundation for Network Control Technology and Intelligent Instruments of Colleges in Chongqing Province, China (Grant No 20070F01) and by Education Committee of Chongqing Province, China (Grant No KJ070502).

A novel fractional-order hyperchaotic system and its synchronization

Zhou Ping(周平)a)b)†ger, Wei Li-Jia(危丽佳)b), and Cheng Xue-Feng(程雪峰)b)   

  1. a Key Laboratory of Network Control & Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; b nstitute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • Received:2008-11-22 Revised:2009-01-04 Online:2009-07-20 Published:2009-07-20
  • Supported by:
    Project supported by the Key Lab Open Foundation for Network Control Technology and Intelligent Instruments of Colleges in Chongqing Province, China (Grant No 20070F01) and by Education Committee of Chongqing Province, China (Grant No KJ070502).

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摘要： In this paper, a novel hyperchaotic system with one nonlinear term and its fractional order system are proposed. Furthermore, synchronization between two fractional-order systems with different fractional-order values is achieved. The proposed synchronization scheme is simple and theoretically rigorous. Numerical simulations are in agreement with the theoretical analysis.

Abstract: In this paper, a novel hyperchaotic system with one nonlinear term and its fractional order system are proposed. Furthermore, synchronization between two fractional-order systems with different fractional-order values is achieved. The proposed synchronization scheme is simple and theoretically rigorous. Numerical simulations are in agreement with the theoretical analysis.

Key words: hyperchaotic system, fractional-order hyperchaotic system, nonlinear term, synchronization

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems) 05.45.Vx (Communication using chaos) 84.40.Ua (Telecommunications: signal transmission and processing; communication satellites)