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    Destruction of Quasiperiodic Oscillations in Weakly Nonlinear Systems

    Source: Applied Mechanics Reviews:;1993:;volume( 046 ):;issue: 007::page 372
    Author:
    Andrey B. Belogortsev
    ,
    Dmitry M. Vavriv
    ,
    Oleg A. Tretyakov
    DOI: 10.1115/1.3120366
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We consider the main regularities of the arising of the dynamical chaos in weakly nonlinear oscillatory systems. We show that the chaotic oscillations in such systems can occur due to the destruction of quasiperiodic oscillations. Various analytical approaches are applied to study the properties of the quasiperiodically forced passive and active single-mode oscillators as well as the conditions for the appearance of chaos. The results of numerical and experimental investigations are also discussed.
    keyword(s): Oscillations , Nonlinear systems , Chaos AND Analytical methods ,
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      Destruction of Quasiperiodic Oscillations in Weakly Nonlinear Systems

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    https://yetl.yabesh.ir/yetl1/handle/yetl/111251
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    contributor authorAndrey B. Belogortsev
    contributor authorDmitry M. Vavriv
    contributor authorOleg A. Tretyakov
    date accessioned2017-05-08T23:40:12Z
    date available2017-05-08T23:40:12Z
    date copyrightJuly, 1993
    date issued1993
    identifier issn0003-6900
    identifier otherAMREAD-25647#372_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/111251
    description abstractWe consider the main regularities of the arising of the dynamical chaos in weakly nonlinear oscillatory systems. We show that the chaotic oscillations in such systems can occur due to the destruction of quasiperiodic oscillations. Various analytical approaches are applied to study the properties of the quasiperiodically forced passive and active single-mode oscillators as well as the conditions for the appearance of chaos. The results of numerical and experimental investigations are also discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDestruction of Quasiperiodic Oscillations in Weakly Nonlinear Systems
    typeJournal Paper
    journal volume46
    journal issue7
    journal titleApplied Mechanics Reviews
    identifier doi10.1115/1.3120366
    journal fristpage372
    journal lastpage384
    identifier eissn0003-6900
    keywordsOscillations
    keywordsNonlinear systems
    keywordsChaos AND Analytical methods
    treeApplied Mechanics Reviews:;1993:;volume( 046 ):;issue: 007
    contenttypeFulltext
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