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    Competing Dynamic Solutions in a Parametrically Excited Pendulum: Attractor Robustness and Basin Integrity

    Source: Journal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 004::page 41010
    Author:
    Stefano Lenci
    ,
    Giuseppe Rega
    DOI: 10.1115/1.2960468
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The competing solutions of a planar pendulum parametrically excited by the vertical motion of the pivot are investigated in terms of both attractor robustness and basin integrity. Two different measures are considered to highlight how the integrity of the system is modified by changing the amplitude of the excitation. Various attractors, both in-well and out-of-well, are considered, and the integrity profiles of each of them are determined. A detailed discussion of the interaction and mutual erosion of the various attractors is performed by clarifying the role of the two complementary measures, and the most relevant characteristics of the erosion profiles are interpreted in terms of the underlying topological mechanisms involving local or global bifurcations.
    keyword(s): Erosion , Bifurcation , Pendulums AND Robustness ,
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      Competing Dynamic Solutions in a Parametrically Excited Pendulum: Attractor Robustness and Basin Integrity

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/137535
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    contributor authorStefano Lenci
    contributor authorGiuseppe Rega
    date accessioned2017-05-09T00:27:07Z
    date available2017-05-09T00:27:07Z
    date copyrightOctober, 2008
    date issued2008
    identifier issn1555-1415
    identifier otherJCNDDM-25660#041010_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/137535
    description abstractThe competing solutions of a planar pendulum parametrically excited by the vertical motion of the pivot are investigated in terms of both attractor robustness and basin integrity. Two different measures are considered to highlight how the integrity of the system is modified by changing the amplitude of the excitation. Various attractors, both in-well and out-of-well, are considered, and the integrity profiles of each of them are determined. A detailed discussion of the interaction and mutual erosion of the various attractors is performed by clarifying the role of the two complementary measures, and the most relevant characteristics of the erosion profiles are interpreted in terms of the underlying topological mechanisms involving local or global bifurcations.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleCompeting Dynamic Solutions in a Parametrically Excited Pendulum: Attractor Robustness and Basin Integrity
    typeJournal Paper
    journal volume3
    journal issue4
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.2960468
    journal fristpage41010
    identifier eissn1555-1423
    keywordsErosion
    keywordsBifurcation
    keywordsPendulums AND Robustness
    treeJournal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian