BIFURCATION DIAGRAM FOR TWO DIMENSIONAL LOGISTIC MAPPING

Authors

  • M. I. Islamova Urgench Urgench State University, Urgench city, Uzbekistan
  • R. R. Kutlumuratov Tashkent State University of Economics, Tashkent, Uzbekistan
  • A. J. Ismailov Tashkent State University of Economics, Tashkent, Uzbekistan

Keywords:

Logistic mapping, bifurcation diagram, multidimensional case.

Abstract

The present paper is devoted to investigation of the multidimensional case of the logistic mapping on the plane to itself. In this paper we learnt the properties of Julia and Mandelbrot sets for some two-dimensional logistic mappings. Julia and Mandelbrot sets help to define asymptotical behavior of the trajectories of certain mappings. The analytical solutions of the equations for finding fixed and periodic points and the computational simulations for describing Julia and Mandelbrot sets are the main results of this paper.

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Published

2025-05-31

Issue

Vol. 39 (2025)

Section

Articles

How to Cite

BIFURCATION DIAGRAM FOR TWO DIMENSIONAL LOGISTIC MAPPING. (2025). Spectrum Journal of Innovation, Reforms and Development, 39, 160-167. https://sjird.journalspark.org/index.php/sjird/article/view/1238