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    On the Analysis of Hopf Bifurcation Associated with a Two-Fold Zero Eigenvalue, Part 2: Nonautonomous System

    Source: Journal of Vibration and Acoustics:;1999:;volume( 121 ):;issue: 001::page 105
    Author:
    M. Moh’d
    ,
    K. Huseyin
    DOI: 10.1115/1.2893935
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper extends the bifurcation and stability analysis of the autonomous system considered in Part 1 to the case of a corresponding nonautonomous system. The effect of an external harmonic excitation on the Hopf bifurcation is studied via a modified Intrinsic Harmonic Balancing technique. It is observed that a shift in the critical value of the parameter occurs due to the external excitation. The analysis is carried out with the aid of MAPLE which is also instrumental in verifying the consistency of the approximations conveniently.
    keyword(s): Bifurcation , Eigenvalues , Stability AND Approximation ,
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      On the Analysis of Hopf Bifurcation Associated with a Two-Fold Zero Eigenvalue, Part 2: Nonautonomous System

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    http://yetl.yabesh.ir/yetl1/handle/yetl/123155
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    • Journal of Vibration and Acoustics

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    contributor authorM. Moh’d
    contributor authorK. Huseyin
    date accessioned2017-05-09T00:01:31Z
    date available2017-05-09T00:01:31Z
    date copyrightJanuary, 1999
    date issued1999
    identifier issn1048-9002
    identifier otherJVACEK-28846#105_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/123155
    description abstractThis paper extends the bifurcation and stability analysis of the autonomous system considered in Part 1 to the case of a corresponding nonautonomous system. The effect of an external harmonic excitation on the Hopf bifurcation is studied via a modified Intrinsic Harmonic Balancing technique. It is observed that a shift in the critical value of the parameter occurs due to the external excitation. The analysis is carried out with the aid of MAPLE which is also instrumental in verifying the consistency of the approximations conveniently.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Analysis of Hopf Bifurcation Associated with a Two-Fold Zero Eigenvalue, Part 2: Nonautonomous System
    typeJournal Paper
    journal volume121
    journal issue1
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2893935
    journal fristpage105
    journal lastpage109
    identifier eissn1528-8927
    keywordsBifurcation
    keywordsEigenvalues
    keywordsStability AND Approximation
    treeJournal of Vibration and Acoustics:;1999:;volume( 121 ):;issue: 001
    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
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