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    An Instability Theorem for Steady Motions in Free and Restrained Dynamical Systems

    Source: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 004::page 908
    Author:
    P. Hagedorn
    ,
    W. Teschner
    DOI: 10.1115/1.3153812
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The stability of steady motions in dynamical systems with ignorable coordinates is considered. In addition to the original “free” systems “restrained” systems are defined in such a way that the ignorable velocities remain constant along all motions; the stability behavior of the two systems is compared. A previously established instability theorem is generalized and three examples are given.
    keyword(s): Theorems (Mathematics) , Motion , Dynamic systems AND Stability ,
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      An Instability Theorem for Steady Motions in Free and Restrained Dynamical Systems

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    https://yetl.yabesh.ir/yetl1/handle/yetl/92775
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    contributor authorP. Hagedorn
    contributor authorW. Teschner
    date accessioned2017-05-08T23:07:49Z
    date available2017-05-08T23:07:49Z
    date copyrightDecember, 1980
    date issued1980
    identifier issn0021-8936
    identifier otherJAMCAV-26159#908_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/92775
    description abstractThe stability of steady motions in dynamical systems with ignorable coordinates is considered. In addition to the original “free” systems “restrained” systems are defined in such a way that the ignorable velocities remain constant along all motions; the stability behavior of the two systems is compared. A previously established instability theorem is generalized and three examples are given.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Instability Theorem for Steady Motions in Free and Restrained Dynamical Systems
    typeJournal Paper
    journal volume47
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3153812
    journal fristpage908
    journal lastpage912
    identifier eissn1528-9036
    keywordsTheorems (Mathematics)
    keywordsMotion
    keywordsDynamic systems AND Stability
    treeJournal of Applied Mechanics:;1980:;volume( 047 ):;issue: 004
    contenttypeFulltext
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