A Method of Analyzing Generalized Cell Mappings-Reference-Cited by-同舟云学术

A Method of Analyzing Generalized Cell Mappings

Published:1982-12-01 Issue:4 Volume:49 Page:885-894
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Hsu C. S.¹,Guttalu R. S.¹,Zhu W. H.²

Affiliation:

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

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/49/4/885/6362961/885_1.pdf

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