中国物理B ›› 2009, Vol. 18 ›› Issue (1): 84-90.doi: 10.1088/1674-1056/18/1/015

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Analysis of transition between chaos and hyper-chaos of an improved hyper-chaotic system

高铁杠1, 顾巧论2   

  1. (1)College of Software, Nankai University, Tianjin 300070, China; (2)Department of Computer, Tianjin University of Technology and Education, Tianjin 300222, China
  • 收稿日期:2008-04-01 修回日期:2008-09-19 出版日期:2009-01-20 发布日期:2009-01-20
  • 基金资助:
    Project supported by the Key Program of Natural Science Fund of Tianjin, China (Grant No 07JCZDJC06600), and the National Natural Science Foundation of China (Grant No 60873117).

Analysis of transition between chaos and hyper-chaos of an improved hyper-chaotic system

Gu Qiao-Lun(顾巧论)a) and Gao Tie-Gang(高铁杠)b)†   

  1. a Department of Computer, Tianjin University of Technology and Education, Tianjin 300222, China; b College of Software, Nankai University, Tianjin 300070, China
  • Received:2008-04-01 Revised:2008-09-19 Online:2009-01-20 Published:2009-01-20
  • Supported by:
    Project supported by the Key Program of Natural Science Fund of Tianjin, China (Grant No 07JCZDJC06600), and the National Natural Science Foundation of China (Grant No 60873117).

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摘要： An improved hyper-chaotic system based on the hyper-chaos generated from Chen's system is presented, and some basic dynamical properties of the system are investigated by means of Lyapunov exponent spectrum, bifurcation diagrams and characteristic equation roots. Simulations show that the new improved system evolves into hyper-chaotic, chaotic, various quasi-periodic or periodic orbits when one parameter of the system is fixed to be a certain value while the other one is variable. Some computer simulations and bifurcation analyses are given to testify the findings.

关键词: hyper-chaos, chaos, bifurcation diagram, Lyapunov exponents

Abstract: An improved hyper-chaotic system based on the hyper-chaos generated from Chen's system is presented, and some basic dynamical properties of the system are investigated by means of Lyapunov exponent spectrum, bifurcation diagrams and characteristic equation roots. Simulations show that the new improved system evolves into hyper-chaotic, chaotic, various quasi-periodic or periodic orbits when one parameter of the system is fixed to be a certain value while the other one is variable. Some computer simulations and bifurcation analyses are given to testify the findings.

Key words: hyper-chaos, chaos, bifurcation diagram, Lyapunov exponents

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

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