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    Resonant Layers in Nonlinear Dynamics

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 003::page 727
    Author:
    R. P. S. Han
    ,
    A. C. J. Luo
    DOI: 10.1115/1.2789117
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new method based on an incremental energy approach and the standard mapping technique is proposed for the study of resonant layers in nonlinear dynamics. To demonstrate the procedure, the method is applied to four types of Duffing oscillators. The appearance, disappearance and accumulated disappearance strengths of the resonant layers for each type of oscillator are derived. A quantitative check of the appearance strength is performed by computing its value using three independent methods: Chirikov overlap criterion, renormalization group technique, and numerical simulations. It is also observed that for the case of the twin-well Duffing oscillator, its perturbed left and right wells are asymmetric.
    keyword(s): Nonlinear dynamics , Wells , Computer simulation AND Renormalization (Physics) ,
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      Resonant Layers in Nonlinear Dynamics

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    http://yetl.yabesh.ir/yetl1/handle/yetl/119907
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    contributor authorR. P. S. Han
    contributor authorA. C. J. Luo
    date accessioned2017-05-08T23:55:39Z
    date available2017-05-08T23:55:39Z
    date copyrightSeptember, 1998
    date issued1998
    identifier issn0021-8936
    identifier otherJAMCAV-26450#727_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119907
    description abstractA new method based on an incremental energy approach and the standard mapping technique is proposed for the study of resonant layers in nonlinear dynamics. To demonstrate the procedure, the method is applied to four types of Duffing oscillators. The appearance, disappearance and accumulated disappearance strengths of the resonant layers for each type of oscillator are derived. A quantitative check of the appearance strength is performed by computing its value using three independent methods: Chirikov overlap criterion, renormalization group technique, and numerical simulations. It is also observed that for the case of the twin-well Duffing oscillator, its perturbed left and right wells are asymmetric.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleResonant Layers in Nonlinear Dynamics
    typeJournal Paper
    journal volume65
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2789117
    journal fristpage727
    journal lastpage736
    identifier eissn1528-9036
    keywordsNonlinear dynamics
    keywordsWells
    keywordsComputer simulation AND Renormalization (Physics)
    treeJournal of Applied Mechanics:;1998:;volume( 065 ):;issue: 003
    contenttypeFulltext
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