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A case study in bifurcation theory

Author

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  • Youssef Khmou

    (Department of Mathematics and Informatics, Sultan Moulay Slimane University, Bd Ibn Khaldoun, Beni-Mellal 23000, Morocco)

Abstract

This short paper is focused on the bifurcation theory found in map functions called evolution functions that are used in dynamical systems. The most well-known example of discrete iterative function is the logistic map that puts into evidence bifurcation and chaotic behavior of the topology of the logistic function. We propose a new iterative function based on Lorentizan function and its generalized versions, based on numerical study, it is found that the bifurcation of the Lorentzian function is of second-order where it is characterized by the absence of chaotic region.

Suggested Citation

  • Youssef Khmou, 2017. "A case study in bifurcation theory," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(08), pages 1-8, August.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:08:n:s0129183117501042
    DOI: 10.1142/S0129183117501042
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