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    The Origin of Stability Indeterminacy in a Symmetric Hamiltonian

    Source: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 002::page 399
    Author:
    M. R. Hyams
    ,
    L. A. Month
    DOI: 10.1115/1.3167631
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The stability and bifurcation of periodic motions in a symmetric two-degree-of-freedom Hamiltonian system is studied by a reduction to a two-dimensional action-angle phase plane, via canonical perturbation theory. The results are used to explain why linear stability analysis will always be indeterminate for the in-phase mode in a class of coupled nonlinear oscillators.
    keyword(s): Stability , Motion , Bifurcation AND Perturbation theory ,
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      The Origin of Stability Indeterminacy in a Symmetric Hamiltonian

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    https://yetl.yabesh.ir/yetl1/handle/yetl/98049
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    contributor authorM. R. Hyams
    contributor authorL. A. Month
    date accessioned2017-05-08T23:17:07Z
    date available2017-05-08T23:17:07Z
    date copyrightJune, 1984
    date issued1984
    identifier issn0021-8936
    identifier otherJAMCAV-26236#399_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/98049
    description abstractThe stability and bifurcation of periodic motions in a symmetric two-degree-of-freedom Hamiltonian system is studied by a reduction to a two-dimensional action-angle phase plane, via canonical perturbation theory. The results are used to explain why linear stability analysis will always be indeterminate for the in-phase mode in a class of coupled nonlinear oscillators.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Origin of Stability Indeterminacy in a Symmetric Hamiltonian
    typeJournal Paper
    journal volume51
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3167631
    journal fristpage399
    journal lastpage405
    identifier eissn1528-9036
    keywordsStability
    keywordsMotion
    keywordsBifurcation AND Perturbation theory
    treeJournal of Applied Mechanics:;1984:;volume( 051 ):;issue: 002
    contenttypeFulltext
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