Open AccessThe digraph cell mapping method based on composite cell space
Author(s) -
Qun He,
Xu Wei,
Shuang Li,
Xiao Yu-Zhu
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.4021
Subject(s) - digraph , computer science , process (computing) , refining (metallurgy) , iterative and incremental development , space (punctuation) , algorithm , algebraic number , iterative method , order (exchange) , theoretical computer science , mathematical optimization , mathematics , discrete mathematics , mathematical analysis , chemistry , software engineering , finance , economics , operating system
In order to improve the accuracy and efficiencyan iterative digraph cell mapping method is presented through introducing the notion of composite cell space. This iterative method can refine any interesting region of cell state space. Because the refining process is performed by algebraic operationthe computer memory does not be increased additionally. Furthermorethe digraph dynamical properties can be preserved in the refining process. In order to implement it easilyan effective algorithm is designed. As an examplethe Henon map is taken to demonstrate the validity and efficiency of this method.