A Method of Analyzing Generalized Cell Mappings

[+] Author and Article Information
C. S. Hsu, R. S. Guttalu

Department of Mechanical Engineering, University of California, Berkeley, Calif. 94720

W. H. Zhu

Department of Mechanics, Zhejiang University, Hangzhou, Zhejiang, People’s Republic of China

J. Appl. Mech 49(4), 885-894 (Dec 01, 1982) (10 pages) doi:10.1115/1.3162632 History: Received February 01, 1982; Online July 21, 2009


In this paper a method for analyzing the global properties of generalized cell mappings involving a very large number of cells is presented. The procedure of the algorithm is devised by taking advantages of certain properties of Markov chains. First, the persistent groups representing the motions to which the system will eventually evolve are determined. Then the absorption probabilities of any transient cell into these persistent groups are evaluated. These two sets of information provide us with the global behavior of the system. After describing the method its viability is illustrated by two examples.

Copyright © 1982 by ASME
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