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    A Method of Analyzing Generalized Cell Mappings

    Source: Journal of Applied Mechanics:;1982:;volume( 049 ):;issue: 004::page 885
    Author:
    C. S. Hsu
    ,
    W. H. Zhu
    ,
    R. S. Guttalu
    DOI: 10.1115/1.3162632
    Publisher: The American Society of Mechanical Engineers (ASME)
    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.
    keyword(s): Motion , Absorption , Algorithms , Chain AND Probability ,
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      A Method of Analyzing Generalized Cell Mappings

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    http://yetl.yabesh.ir/yetl1/handle/yetl/95304
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    contributor authorC. S. Hsu
    contributor authorW. H. Zhu
    contributor authorR. S. Guttalu
    date accessioned2017-05-08T23:12:25Z
    date available2017-05-08T23:12:25Z
    date copyrightDecember, 1982
    date issued1982
    identifier issn0021-8936
    identifier otherJAMCAV-26208#885_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/95304
    description abstractIn 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.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Method of Analyzing Generalized Cell Mappings
    typeJournal Paper
    journal volume49
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3162632
    journal fristpage885
    journal lastpage894
    identifier eissn1528-9036
    keywordsMotion
    keywordsAbsorption
    keywordsAlgorithms
    keywordsChain AND Probability
    treeJournal of Applied Mechanics:;1982:;volume( 049 ):;issue: 004
    contenttypeFulltext
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