中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2291-2295.doi: 10.1088/1009-1963/16/8/022

• GENERAL • 上一篇    下一篇

Noise-induced striped trajectories of Rossler systems

黄志华, 董亚丽   

  1. School of Science, Tianjin Polytechnic University, Tianjin 300160, China
  • 收稿日期:2006-12-14 修回日期:2007-01-20 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    Project supported by the Science and Technology Development Foundation for Colleges and Universities of Tianjin (Grant No 20051527).

Noise-induced striped trajectories of Rossler systems

Huang Zhi-Hua(黄志华) and Dong Ya-Li(董亚丽)†   

  1. School of Science, Tianjin Polytechnic University, Tianjin 300160, China
  • Received:2006-12-14 Revised:2007-01-20 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    Project supported by the Science and Technology Development Foundation for Colleges and Universities of Tianjin (Grant No 20051527).

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摘要： In this paper, the generation of striped trajectories in phase space by noise-injection is considered. With suitable amplitudes of noise, the steady-state system orbits appear in rectangular striped shape. The relationship between the shape (including the range and the number of stripes) and some parameters is discussed. The result shows that noise can also generate the striped shape effectively and simply, which is similar to the newly-discovered striped pattern generated by controlled Rossler systems.

Abstract: In this paper, the generation of striped trajectories in phase space by noise-injection is considered. With suitable amplitudes of noise, the steady-state system orbits appear in rectangular striped shape. The relationship between the shape (including the range and the number of stripes) and some parameters is discussed. The result shows that noise can also generate the striped shape effectively and simply, which is similar to the newly-discovered striped pattern generated by controlled Rossler systems.

Key words: multiple stripes, controlled Rossler systems, noise

中图分类号:  (Noise)

  • 05.40.Ca
05.45.-a (Nonlinear dynamics and chaos)