A case study in bifurcation theory

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

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 08, 1-8

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.

Keywords: Bifurcation; Lorentzian function; chaotic region; logistic map (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117501042

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