THE SETS OF JULIA AND MANDELBROT FOR MULTI-DIMENSIONAL CASE OF LOGISTIC MAPPING-Reference-Cited by-同舟云学术

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THE SETS OF JULIA AND MANDELBROT FOR MULTI-DIMENSIONAL CASE OF LOGISTIC MAPPING

Published:2020-12-20 Issue: Volume: Page:81-94
ISSN:2181-1210
Container-title:Central Asian Problems of Modern Science and Education
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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 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.

Publisher

Uzbekistan Research Online

Subject

Microbiology

Reference23 articles.

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3. [3] Ganikhodzhayev R.N., Narziyev N.B., Seytov Sh.J. Multi-dimensional case of the problem of Von Neumann - Ulam. Uzbek Mathematical Journal Vol. 3, Issue 1, 11-23 (2015).

4. [4] Julia, G. Memoire sur l’Iteration des Fonctions Rationelles J. Math Pures Appl. Vol. 4, 47-245 (1918).

5. [5] Devaney R. L. A First Course In Chaotic Dynamical Systems: Theory And Experiment. Boston, (1992).

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