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 the sets of Julia and Mandelbrot for some two-dimensional logistic mappings. The sets of Julia and Mandelbrot 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 the sets of Julia and Mandelbrot are the main results of this paper.
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Ganikhodzhaev, Rasul; Seytov, Shavkat; Obidjonov, Islombek; and Sadullayev, Lazizbek
"THE SETS OF JULIA AND MANDELBROT FOR MULTI-DIMENSIONAL CASE OF LOGISTIC MAPPING,"
Central Asian Problems of Modern Science and Education: Vol. 2020
, Article 7.
Available at: https://uzjournals.edu.uz/capmse/vol2020/iss4/7