Home > Papers

 
 
Star direct product of symbolized vertex shift matrices: angle decomposition method in symbolic dynamics
Xu Chuanyun ,Peng Shouli ,Cao Kefei *
Center for Nonlinear Complex Systems, Department of Physics, Yunnan University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,教育部博士点基金,云南大学理(工)科校级科研项目(No.10565004,20050673001,2005Q018C)
Opened online: 9 February 2009
Accepted by: none
Citation: Xu Chuanyun ,Peng Shouli ,Cao Kefei .Star direct product of symbolized vertex shift matrices: angle decomposition method in symbolic dynamics[OL]. [ 9 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28636
 
 
A star direct product in the form of matrices is proposed for one-dimensional symbolic dynamics of arbitrary multimodal maps. The direct product is based on the angle decomposition technique in the from of symbolized vertex shift matrices which are orthonormal 0-1 matrices and form a special orthonormal group. The admissibility condition of symbolized vertex shift matrices and the admissibility of star direct product are proved in detail. They will guarantee that the product are of renormalizable orbits. The star direct product has many algebraic distinctions to the conventional star product. Therefore, it is expected that there may exist a great diversity of Feigenbaum\\\
Keywords:Symbolic dynamics;Vertex shift matrix;Star direct product;Angle decomposition
 
 
 

For this paper

  • PDF (0B)
  • ● Revision 0   
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags

Add yours

Related Papers

Statistics

PDF Downloaded 330
Bookmarked 0
Recommend 5
Comments Array
Submit your papers