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    Analytical Method for Stroboscopically Sampling General Periodic Functions With Arbitrary Frequency Sweep Rates

    Source: Journal of Vibration and Acoustics:;2018:;volume( 140 ):;issue: 006::page 64701
    Author:
    Sequeira, Dane
    ,
    Wang, Xue-She
    ,
    Mann, Brian
    DOI: 10.1115/1.4040046
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Parameter sweeps are commonly used to explore the behavior of dynamical systems. This paper derives exact solutions for the instances in time to stroboscopically sample the response of a dynamical system subject to varying input excitations. This work will enable more accurate bifurcation diagrams and Poincaré sections in parameter regimes where numerical approaches may lead to incorrect behavior characterization. The simplest case of a linear frequency sweep is first considered before generalizing the results to include more complex functions with nonlinear sweep rates and arbitrary phase shifts.
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      Analytical Method for Stroboscopically Sampling General Periodic Functions With Arbitrary Frequency Sweep Rates

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4253478
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    contributor authorSequeira, Dane
    contributor authorWang, Xue-She
    contributor authorMann, Brian
    date accessioned2019-02-28T11:10:34Z
    date available2019-02-28T11:10:34Z
    date copyright5/10/2018 12:00:00 AM
    date issued2018
    identifier issn1048-9002
    identifier othervib_140_06_064701.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4253478
    description abstractParameter sweeps are commonly used to explore the behavior of dynamical systems. This paper derives exact solutions for the instances in time to stroboscopically sample the response of a dynamical system subject to varying input excitations. This work will enable more accurate bifurcation diagrams and Poincaré sections in parameter regimes where numerical approaches may lead to incorrect behavior characterization. The simplest case of a linear frequency sweep is first considered before generalizing the results to include more complex functions with nonlinear sweep rates and arbitrary phase shifts.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalytical Method for Stroboscopically Sampling General Periodic Functions With Arbitrary Frequency Sweep Rates
    typeJournal Paper
    journal volume140
    journal issue6
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.4040046
    journal fristpage64701
    journal lastpage064701-6
    treeJournal of Vibration and Acoustics:;2018:;volume( 140 ):;issue: 006
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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