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    Stability of the Damped Mathieu Equation With Time Delay

    Source: Journal of Dynamic Systems, Measurement, and Control:;2003:;volume( 125 ):;issue: 002::page 166
    Author:
    T. Insperger
    ,
    Ph.D. Student
    ,
    G. Stépán
    DOI: 10.1115/1.1567314
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In the space of the system parameters, the stability charts are determined for the delayed and damped Mathieu equation defined as ẍ(t)+κẋ(t)+(δ+ε cos t)x(t)=bx(t−2π). This stability chart makes the connection between the Strutt-Ince chart of the damped Mathieu equation and the Hsu-Bhatt-Vyshnegradskii chart of the autonomous second order delay-differential equation. The combined charts describe the intriguing stability properties of an important class of delayed oscillatory systems subjected to parametric excitation.
    keyword(s): Stability , Delays AND Equations ,
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      Stability of the Damped Mathieu Equation With Time Delay

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    http://yetl.yabesh.ir/yetl1/handle/yetl/128129
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    contributor authorT. Insperger
    contributor authorPh.D. Student
    contributor authorG. Stépán
    date accessioned2017-05-09T00:09:47Z
    date available2017-05-09T00:09:47Z
    date copyrightJune, 2003
    date issued2003
    identifier issn0022-0434
    identifier otherJDSMAA-26317#166_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/128129
    description abstractIn the space of the system parameters, the stability charts are determined for the delayed and damped Mathieu equation defined as ẍ(t)+κẋ(t)+(δ+ε cos t)x(t)=bx(t−2π). This stability chart makes the connection between the Strutt-Ince chart of the damped Mathieu equation and the Hsu-Bhatt-Vyshnegradskii chart of the autonomous second order delay-differential equation. The combined charts describe the intriguing stability properties of an important class of delayed oscillatory systems subjected to parametric excitation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability of the Damped Mathieu Equation With Time Delay
    typeJournal Paper
    journal volume125
    journal issue2
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.1567314
    journal fristpage166
    journal lastpage171
    identifier eissn1528-9028
    keywordsStability
    keywordsDelays AND Equations
    treeJournal of Dynamic Systems, Measurement, and Control:;2003:;volume( 125 ):;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