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Existence of Super Chaotic Attractors in a General Piecewise Smooth Map of the Plane

Author

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  • Elhafsi Boukhalfa

    (Department of Mathematics, University of Tébessa)

  • Elhadj Zeraoulia

    (Department of Mathematics, University of Tébessa)

Abstract

In this paper we give some rigorous conditions for the occurrence of super chaotic attractors in a general piecewise smooth map of the plane.

Suggested Citation

  • Elhafsi Boukhalfa & Elhadj Zeraoulia, 2014. "Existence of Super Chaotic Attractors in a General Piecewise Smooth Map of the Plane," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 12(1), pages 92-98.
    • Handle: RePEc:zna:indecs:v:12:y:2014:i:1:p:92-98
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    References listed on IDEAS

    as
    1. Marotto, F.R., 2005. "On redefining a snap-back repeller," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 25-28.
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    More about this item

    Keywords

    piecewise smooth map; super chaotic attractor; rigorous proof of chaos; Lyapunov exponents;
    All these keywords.

    JEL classification:

    • Y91 - Miscellaneous Categories - - Other - - - Pictures and Maps
    • Z00 - Other Special Topics - - General - - - General

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