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    Multiple Bifurcations and Complex Responses of Nonlinear Time-Delay Oscillators

    Source: Journal of Computational and Nonlinear Dynamics:;2021:;volume( 016 ):;issue: 011::page 0111001-1
    Author:
    Mao, Xiaochen
    ,
    Lei, Fuchen
    ,
    Li, Xingyong
    ,
    Ding, Weijie
    ,
    Shi, Tiantian
    DOI: 10.1115/1.4051819
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, the dynamical properties of multiple van der Pol-Duffing oscillators with time delays are studied. The amplitude death and bifurcation curves in the parameter plane are determined by using the space decomposition method. Different patterns of bifurcated solutions are given on the basis of the symmetric bifurcation theory. The properties of bifurcated solutions are shown by using the norm forms on the center manifold. The interactions of bifurcations are discussed and their dynamical behaviors are shown. An electronic circuit platform is implemented by means of nonlinear circuit and time delay circuit. The revealed behaviors of the circuit reach an agreement with the obtained results. It is shown that the nonlinearity and time delays have great effects on the system performance and can induce interesting and abundant dynamic features.
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      Multiple Bifurcations and Complex Responses of Nonlinear Time-Delay Oscillators

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4278963
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    • Journal of Computational and Nonlinear Dynamics

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    contributor authorMao, Xiaochen
    contributor authorLei, Fuchen
    contributor authorLi, Xingyong
    contributor authorDing, Weijie
    contributor authorShi, Tiantian
    date accessioned2022-02-06T05:52:42Z
    date available2022-02-06T05:52:42Z
    date copyright8/31/2021 12:00:00 AM
    date issued2021
    identifier issn1555-1415
    identifier othercnd_016_11_111001.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4278963
    description abstractIn this paper, the dynamical properties of multiple van der Pol-Duffing oscillators with time delays are studied. The amplitude death and bifurcation curves in the parameter plane are determined by using the space decomposition method. Different patterns of bifurcated solutions are given on the basis of the symmetric bifurcation theory. The properties of bifurcated solutions are shown by using the norm forms on the center manifold. The interactions of bifurcations are discussed and their dynamical behaviors are shown. An electronic circuit platform is implemented by means of nonlinear circuit and time delay circuit. The revealed behaviors of the circuit reach an agreement with the obtained results. It is shown that the nonlinearity and time delays have great effects on the system performance and can induce interesting and abundant dynamic features.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMultiple Bifurcations and Complex Responses of Nonlinear Time-Delay Oscillators
    typeJournal Paper
    journal volume16
    journal issue11
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4051819
    journal fristpage0111001-1
    journal lastpage0111001-9
    page9
    treeJournal of Computational and Nonlinear Dynamics:;2021:;volume( 016 ):;issue: 011
    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