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    Interpolated Cell Mapping of Dynamical Systems

    Source: Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 002::page 461
    Author:
    B. H. Tongue
    ,
    K. Gu
    DOI: 10.1115/1.3173700
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A method is proposed to efficiently determine the basins of attraction of a nonlinear system’s different steady-state solutions. The phase space of the dynamical system is spacially discretized and the continuous problem in time is converted to an iterative mapping. By means of interpolation procedures, an improvement in the system accuracy over the Simple Cell Mapping technique is achieved. Both basins of attraction for a representative nonlinear system and characteristic system trajectories are generated and compared to exact solutions.
    keyword(s): Dynamic systems , Nonlinear systems , Interpolation , Steady state AND Phase space ,
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      Interpolated Cell Mapping of Dynamical Systems

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    contributor authorB. H. Tongue
    contributor authorK. Gu
    date accessioned2017-05-08T23:26:37Z
    date available2017-05-08T23:26:37Z
    date copyrightJune, 1988
    date issued1988
    identifier issn0021-8936
    identifier otherJAMCAV-26294#461_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/103559
    description abstractA method is proposed to efficiently determine the basins of attraction of a nonlinear system’s different steady-state solutions. The phase space of the dynamical system is spacially discretized and the continuous problem in time is converted to an iterative mapping. By means of interpolation procedures, an improvement in the system accuracy over the Simple Cell Mapping technique is achieved. Both basins of attraction for a representative nonlinear system and characteristic system trajectories are generated and compared to exact solutions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInterpolated Cell Mapping of Dynamical Systems
    typeJournal Paper
    journal volume55
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3173700
    journal fristpage461
    journal lastpage466
    identifier eissn1528-9036
    keywordsDynamic systems
    keywordsNonlinear systems
    keywordsInterpolation
    keywordsSteady state AND Phase space
    treeJournal of Applied Mechanics:;1988:;volume( 055 ):;issue: 002
    contenttypeFulltext
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