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Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation

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  • Paulo Rech

Abstract

Parameter plane plots related to a periodically forced compound Korteweg-de Vries-Burgers system, which is modeled by a third-order partial differential equation, are reported. It is shown that typical periodic structures embedded in a chaotic region in these parameter planes, organize themselves in different ways. There are bifurcation sequences whose periods have a well-defined law of formation, that may be written in a closed form, and there are bifurcation sequences self-organized in period-adding cascades. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Paulo Rech, 2013. "Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(8), pages 1-5, August.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:8:p:1-5:10.1140/epjb/e2013-40238-5
    DOI: 10.1140/epjb/e2013-40238-5
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    Cited by:

    1. da Costa, Diogo Ricardo & Rocha, Julia G.S. & de Paiva, Luam S. & Medrano-T, Rene O., 2021. "Logistic-like and Gauss coupled maps: The born of period-adding cascades," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. da Silva, Rodrigo A. & Rech, Paulo C., 2015. "Spiral periodic structures in a parameter plane of an ecological model," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 9-13.
    3. Wiggers, Vinícius & Rech, Paulo C., 2017. "Multistability and organization of periodicity in a Van der Pol–Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 103(C), pages 632-637.

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    Keywords

    Statistical and Nonlinear Physics;

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