On The Bifurcation Diagrams of Fractional Logistic Map

Güzel N., Yavcın F.

International Conference on Mathematical Advances and Applications, İstanbul, Türkiye, 11 - 13 Mayıs 2018, cilt.1, ss.60

  • Yayın Türü: Bildiri / Özet Bildiri
  • Cilt numarası: 1
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.60
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this study new chaotic maps are generated from logistic map and behaviour of these chaotic maps is investigated. Dependence of the control parameter is presented with bifurcation diagrams. Dynamics of the fractional logistic map for the various degree of fractional integral is investigated. Then we demonstrate that fractional logistic map has similar bifurcation diagram and when degree of integral increases, value of bifurcation points increases.

Keywords: Bifurcation Diagram, Fractional Order Logistic Equation, Chaos

References

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