Huang Xin, Liu Zeng-rong. Numerical Studies for a Model Describing Complexity[J]. Applied Mathematics and Mechanics, 1994, 15(8): 729-732.
Citation: Huang Xin, Liu Zeng-rong. Numerical Studies for a Model Describing Complexity[J]. Applied Mathematics and Mechanics, 1994, 15(8): 729-732.

Numerical Studies for a Model Describing Complexity

  • Received Date: 1993-02-22
  • Publish Date: 1994-08-15
  • A simple model based on the discussion for infinite dimensional system is introduced to investigate the dynamical complexity for continuous system. By using immerical, methods, we show the dynamical behaviors of the model appear to correspond to universal language and context-sensitive language.
  • loading
  • [1]
    Wolfram.S.,Computation theory of cellular automata,Comrnun.Math.Phys.,96(1984),15-57.
    [2]
    Lempel,A.and J.Ziv.,On the complexity of finite sequences,IEEE Trans.Inform.Theory,22,1(1976),75-81.
    [3]
    D'Alessandro,G.and A.Peleti,Hierachicai approach to complexity with applications to dynamical systems,Phys.Rev.Lett.,64,14(1990),1609-1612.
    [4]
    Grassberger,P.,Toward a quantitative theory of self-generated complexity,Inter.J.Theor.Phys.,25,9(1986),907-939.
    [5]
    Schuster,H.G.,Information content of chaotic signals,Physica Soripta,40(1989),367-371.
    [6]
    Crutchfield,J.P.and K.Young,Inferring statistical complexity,Phys.Rev.Lett,63,2(1989),105-108.
    [7]
    Auerbach,D.and I.Procaceia,Grammatical complexity of strange sets,Phys.Rev.,A.41,12(1990),6602-6614.
    [8]
    Urias,J.,An algebraic measure of complexity,Physica,D 47(1991),498-508.
    [9]
    Hao Bai-lin,Symbolic dynamics and characterization of complexity,Physica,D.,51(1991),161-176.
    [10]
    Liu Zeng-rong,Xu Zhen-yuan and Xie Hui-min,The global attractor and inertial manifold in infinite-dimensional dynamical systems,Advances in Mechanics,21,4(1991),421-429.(in Chinese).
    [11]
    刘曾荣、徐振源、谢惠民,无穷维动力系统中的惯性流形和吸引子.力学进展,21(4)(1991),421-429.
    [12]
    刘曾荣、徐振源,从具体例子看惯比流形溉念的推广.力学学报.24(4)(1992),438-445.
    [13]
    刘曾荣、徐振源.Sine-Gordon方程为广义惯性流形和动力学行为,《全国一般力学和现代数学方法学术会文集》,科学出版社(1992),18-25.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2122) PDF downloads(458) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return