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    Degenerate “Starâ€‌ Bifurcations in a Twinkling Oscillator

    Source: Journal of Vibration and Acoustics:;2014:;volume( 136 ):;issue: 002::page 21004
    Author:
    Panigrahi, Smruti R.
    ,
    Feeny, Brian F.
    ,
    Diaz, Alejandro R.
    DOI: 10.1115/1.4025442
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We have studied a nonlinear springmass chain loaded by a quasistatic pull. The spring forces are assumed to be cubic with intervals of negative stiffness. Depending on the parameters, the system has multiple equilibria. The normal form and the bifurcation behaviors for the singleand twodegreeoffreedom systems are studied in detail. A new type of bifurcation, which we refer to as a star bifurcation, has been observed for the symmetric twodegreeoffreedom system. This bifurcation is of codimensionfour for the undamped case and codimensionthree or two for the damped case, depending on the form of the damping.
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      Degenerate “Starâ€‌ Bifurcations in a Twinkling Oscillator

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    contributor authorPanigrahi, Smruti R.
    contributor authorFeeny, Brian F.
    contributor authorDiaz, Alejandro R.
    date accessioned2017-05-09T01:13:59Z
    date available2017-05-09T01:13:59Z
    date issued2014
    identifier issn1048-9002
    identifier othervib_136_02_021004.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/156717
    description abstractWe have studied a nonlinear springmass chain loaded by a quasistatic pull. The spring forces are assumed to be cubic with intervals of negative stiffness. Depending on the parameters, the system has multiple equilibria. The normal form and the bifurcation behaviors for the singleand twodegreeoffreedom systems are studied in detail. A new type of bifurcation, which we refer to as a star bifurcation, has been observed for the symmetric twodegreeoffreedom system. This bifurcation is of codimensionfour for the undamped case and codimensionthree or two for the damped case, depending on the form of the damping.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDegenerate “Starâ€‌ Bifurcations in a Twinkling Oscillator
    typeJournal Paper
    journal volume136
    journal issue2
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.4025442
    journal fristpage21004
    journal lastpage21004
    identifier eissn1528-8927
    treeJournal of Vibration and Acoustics:;2014:;volume( 136 ):;issue: 002
    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