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    Nonlinear Response and Suppression of Chaos by Weak Harmonic Perturbation Inside a Triple Well Φ6-Rayleigh Oscillator Combined to Parametric Excitations

    Source: Journal of Computational and Nonlinear Dynamics:;2006:;volume( 001 ):;issue: 003::page 196
    Author:
    M. Siewe Siewe
    ,
    F. M. Moukam Kakmeni
    ,
    C. Tchawoua
    ,
    P. Woafo
    DOI: 10.1115/1.2198215
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The nonlinear response and suppression of chaos by weak harmonic perturbation inside a triple well Φ6-Rayleigh oscillator combined to parametric excitations is studied in this paper. The main attention is focused on the dynamical properties of local bifurcations as well as global bifurcations including homoclinic and heteroclinic bifurcations. The original oscillator is transformed to averaged equations using the method of harmonic balance to obtain periodic solutions. The response curves show the saddle-node bifurcation and the multi-stability phenomena. Based on the Melnikov’s method, horseshoe chaos is found and its control is made by introducing an external periodic perturbation.
    keyword(s): Stability , Bifurcation , Chaos AND Equations ,
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      Nonlinear Response and Suppression of Chaos by Weak Harmonic Perturbation Inside a Triple Well Φ6-Rayleigh Oscillator Combined to Parametric Excitations

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    https://yetl.yabesh.ir/yetl1/handle/yetl/133264
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    contributor authorM. Siewe Siewe
    contributor authorF. M. Moukam Kakmeni
    contributor authorC. Tchawoua
    contributor authorP. Woafo
    date accessioned2017-05-09T00:19:05Z
    date available2017-05-09T00:19:05Z
    date copyrightJuly, 2006
    date issued2006
    identifier issn1555-1415
    identifier otherJCNDDM-25542#196_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/133264
    description abstractThe nonlinear response and suppression of chaos by weak harmonic perturbation inside a triple well Φ6-Rayleigh oscillator combined to parametric excitations is studied in this paper. The main attention is focused on the dynamical properties of local bifurcations as well as global bifurcations including homoclinic and heteroclinic bifurcations. The original oscillator is transformed to averaged equations using the method of harmonic balance to obtain periodic solutions. The response curves show the saddle-node bifurcation and the multi-stability phenomena. Based on the Melnikov’s method, horseshoe chaos is found and its control is made by introducing an external periodic perturbation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonlinear Response and Suppression of Chaos by Weak Harmonic Perturbation Inside a Triple Well Φ6-Rayleigh Oscillator Combined to Parametric Excitations
    typeJournal Paper
    journal volume1
    journal issue3
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.2198215
    journal fristpage196
    journal lastpage204
    identifier eissn1555-1423
    keywordsStability
    keywordsBifurcation
    keywordsChaos AND Equations
    treeJournal of Computational and Nonlinear Dynamics:;2006:;volume( 001 ):;issue: 003
    contenttypeFulltext
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