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    Invariants of Chaotic Attractor in a Nonlinearly Damped System

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004::page 875
    Author:
    B. Ravindra
    ,
    P. Hagedorn
    DOI: 10.1115/1.2791926
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The characterization of a chaotic attractor in a driven, Duffing-Holmes oscillator with power-law damping is considered. State space reconstruction of the time series of the attractor is carried out to investigate its structure. The invariants associated with the attractor such as correlation dimension and entropy are computed. Also the maximum-likelihood (ML) estimation of dimension and entropy are carried out. The use of obtained invariants in building models for prediction and control using power-law dampers is discussed.
    keyword(s): Dimensions , Entropy , Dampers , Damping AND Time series ,
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      Invariants of Chaotic Attractor in a Nonlinearly Damped System

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    https://yetl.yabesh.ir/yetl1/handle/yetl/119844
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    contributor authorB. Ravindra
    contributor authorP. Hagedorn
    date accessioned2017-05-08T23:55:33Z
    date available2017-05-08T23:55:33Z
    date copyrightDecember, 1998
    date issued1998
    identifier issn0021-8936
    identifier otherJAMCAV-26457#875_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119844
    description abstractThe characterization of a chaotic attractor in a driven, Duffing-Holmes oscillator with power-law damping is considered. State space reconstruction of the time series of the attractor is carried out to investigate its structure. The invariants associated with the attractor such as correlation dimension and entropy are computed. Also the maximum-likelihood (ML) estimation of dimension and entropy are carried out. The use of obtained invariants in building models for prediction and control using power-law dampers is discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInvariants of Chaotic Attractor in a Nonlinearly Damped System
    typeJournal Paper
    journal volume65
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2791926
    journal fristpage875
    journal lastpage879
    identifier eissn1528-9036
    keywordsDimensions
    keywordsEntropy
    keywordsDampers
    keywordsDamping AND Time series
    treeJournal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004
    contenttypeFulltext
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