中国物理B ›› 2005, Vol. 14 ›› Issue (3): 476-481.doi: 10.1088/1009-1963/14/3/008

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Manifesting mutual relation of spatiotemporally chaotic signals by symbolic analysis

朱长春1, 肖方红2, 阎桂荣2   

  1. (1)China Academy of Engineering Physics, Mianyang 610003, China; (2)School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2004-03-19 修回日期:2004-11-01 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported jointly by the National Natural Science Foundation of China (Grant No 10276032) and by the Science Foundation of China Academy of Engineering Physics NSAF.

Manifesting mutual relation of spatiotemporally chaotic signals by symbolic analysis

Xiao Fang-Hong (肖方红)a, Yan Gui-Rong (阎桂荣)a, Zhu Chang-Chun (朱长春)b    

  1. a School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China; b China Academy of Engineering Physics, Mianyang 610003, China
  • Received:2004-03-19 Revised:2004-11-01 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported jointly by the National Natural Science Foundation of China (Grant No 10276032) and by the Science Foundation of China Academy of Engineering Physics NSAF.

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摘要： Based on the coupled map lattice models, the mutual relation of spatiotemporally chaotic signals is studied using the symbolic analysis method. Numerical computation results show that the conditional entropy of two directly coupled lattices or that of two indirectly coupled but near lattices has a sharp minimum, whereas the conditional entropy of two distant lattices has no sharp minimum. Thus, the mutual relation of spatiotemporally chaotic signals produced by the coupled map lattice systems can be manifested by the symbolic analysis method.

关键词: spatiotemporal chaos, symbolic analysis, mutual relation, coupling, entropy

Abstract: Based on the coupled map lattice models, the mutual relation of spatiotemporally chaotic signals is studied using the symbolic analysis method. Numerical computation results show that the conditional entropy of two directly coupled lattices or that of two indirectly coupled but near lattices has a sharp minimum, whereas the conditional entropy of two distant lattices has no sharp minimum. Thus, the mutual relation of spatiotemporally chaotic signals produced by the coupled map lattice systems can be manifested by the symbolic analysis method.

Key words: spatiotemporal chaos, symbolic analysis, mutual relation, coupling, entropy

中图分类号:  (Coupled map lattices)

  • 05.45.Ra
05.45.Pq (Numerical simulations of chaotic systems)