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    Moment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise

    Source: Journal of Applied Mechanics:;2001:;volume( 068 ):;issue: 006::page 903
    Author:
    N. Sri Namachchivaya
    ,
    H. J. Van Roessel
    DOI: 10.1115/1.1387021
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In a recent paper an asymptotic approximation for the moment Lyapunov exponent, g(p), of two coupled oscillators driven by a small intensity real noise was obtained. The utility of that result is limited by the fact that it was obtained under the assumption that the moment p is small, a limitation which precludes, for example, the determination of the stability index. In this paper that limitation is removed and an asymptotic approximation valid for arbitrary p is obtained. The results are applied to study the moment stability of the stationary solutions of structural and mechanical systems subjected to stochastic excitation.
    keyword(s): Stability , Noise (Sound) , Eigenvalues , Equations AND Approximation ,
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      Moment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise

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    http://yetl.yabesh.ir/yetl1/handle/yetl/124642
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    contributor authorN. Sri Namachchivaya
    contributor authorH. J. Van Roessel
    date accessioned2017-05-09T00:03:56Z
    date available2017-05-09T00:03:56Z
    date copyrightNovember, 2001
    date issued2001
    identifier issn0021-8936
    identifier otherJAMCAV-926184#903_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/124642
    description abstractIn a recent paper an asymptotic approximation for the moment Lyapunov exponent, g(p), of two coupled oscillators driven by a small intensity real noise was obtained. The utility of that result is limited by the fact that it was obtained under the assumption that the moment p is small, a limitation which precludes, for example, the determination of the stability index. In this paper that limitation is removed and an asymptotic approximation valid for arbitrary p is obtained. The results are applied to study the moment stability of the stationary solutions of structural and mechanical systems subjected to stochastic excitation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMoment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise
    typeJournal Paper
    journal volume68
    journal issue6
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1387021
    journal fristpage903
    journal lastpage914
    identifier eissn1528-9036
    keywordsStability
    keywordsNoise (Sound)
    keywordsEigenvalues
    keywordsEquations AND Approximation
    treeJournal of Applied Mechanics:;2001:;volume( 068 ):;issue: 006
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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