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    Fractional Dynamics: A Statistical Perspective

    Source: Journal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 002::page 21201
    Author:
    J. A. Machado
    ,
    Alexandra Galhano
    DOI: 10.1115/1.2833481
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Fractional calculus is a mathematical paradigm that has been increasingly adopted to describe the dynamics of systems with hereditary characteristics, or that reflect an average of a large population of microelements. In this line of thought, this article analyzes the statistical dynamics of a system composed of a large number of micromechanical masses with backlash and impacts. We conclude that, while individual dynamics of each element has an integer-order nature, the global dynamics reveal the existence of both integer and fractional dynamics.
    keyword(s): Dynamics (Mechanics) , Simulation AND Modeling ,
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      Fractional Dynamics: A Statistical Perspective

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    contributor authorJ. A. Machado
    contributor authorAlexandra Galhano
    date accessioned2017-05-09T00:27:10Z
    date available2017-05-09T00:27:10Z
    date copyrightJanuary, 2008
    date issued2008
    identifier issn1555-1415
    identifier otherJCNDDM-24916#021201_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/137558
    description abstractFractional calculus is a mathematical paradigm that has been increasingly adopted to describe the dynamics of systems with hereditary characteristics, or that reflect an average of a large population of microelements. In this line of thought, this article analyzes the statistical dynamics of a system composed of a large number of micromechanical masses with backlash and impacts. We conclude that, while individual dynamics of each element has an integer-order nature, the global dynamics reveal the existence of both integer and fractional dynamics.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFractional Dynamics: A Statistical Perspective
    typeJournal Paper
    journal volume3
    journal issue2
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.2833481
    journal fristpage21201
    identifier eissn1555-1423
    keywordsDynamics (Mechanics)
    keywordsSimulation AND Modeling
    treeJournal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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