中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4014-4021.doi: 10.1088/1674-1056/17/11/013

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A new R?sslor hyperchaotic system and its realization with systematic circuit parameter design

王光义, 何海莲   

  1. School of Electronics Information, Hangzhou Dianzi University, Hangzhou310018, China
  • 收稿日期:2008-02-11 修回日期:2008-03-16 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No Y105175) and the Science Investigation Foundation of Hangzhou Dianzi University, China (Grant No KYS051505010).

A new Rösslor hyperchaotic system and its realization with systematic circuit parameter design

Wang Guang-Yi (王光义), He Hai-Lian (何海莲)   

  1. School of Electronics Information, Hangzhou Dianzi University, Hangzhou310018, China
  • Received:2008-02-11 Revised:2008-03-16 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No Y105175) and the Science Investigation Foundation of Hangzhou Dianzi University, China (Grant No KYS051505010).

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摘要： Based on two modified R\"{o}sslor hyperchaotic systems, which are derived from the chaotic R\"{o}sslor system by introducing a state feedback controller, this paper proposes a new switched R\"{o}sslor hyperchaotic system. The switched system contains two different hyperchaotic systems and can change its behaviour continuously from one to another via a switching function. On the other hand, it presents a systematic method for designing the circuit of realizing the proposed hyperchaotic system. In this design, circuit state equations are written in normalized dimensionless form by rescaling the time variable. Furthermore, an analogous circuit is designed by using the proposed method and built for verifying the new hyperchaos and the design method. Experimental results show a good agreement between numerical simulations and experimental results.

关键词: hyperchaos, R\"{o}sslor system, circuit implementation, parameter design

Abstract: Based on two modified Rösslor hyperchaotic systems, which are derived from the chaotic Rösslor system by introducing a state feedback controller, this paper proposes a new switched Rösslor hyperchaotic system. The switched system contains two different hyperchaotic systems and can change its behaviour continuously from one to another via a switching function. On the other hand, it presents a systematic method for designing the circuit of realizing the proposed hyperchaotic system. In this design, circuit state equations are written in normalized dimensionless form by rescaling the time variable. Furthermore, an analogous circuit is designed by using the proposed method and built for verifying the new hyperchaos and the design method. Experimental results show a good agreement between numerical simulations and experimental results.

Key words: hyperchaos, R?sslor system, circuit implementation, parameter design

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems) 84.30.Bv (Circuit theory)