NUMERICAL SOLUTION AND CHAOTIC DYNAMIC OF FRACTIONAL-ORDER LORENZ AND CHEN SYSTEM

Seferi, Ylldrita (2019) NUMERICAL SOLUTION AND CHAOTIC DYNAMIC OF FRACTIONAL-ORDER LORENZ AND CHEN SYSTEM. Journal of Natural Sciences and Mathematics of UT, 4 (7-8). pp. 223-228. ISSN 2671-3039

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Abstract

The control of the chaotic dynamical systems of fractional-order has been utilized in various applications in mechanics, physics, control theory, and other engineering areas. This paper is devoted to a numerical and theoretical analysis of nonlinear fractional-order systems, namely the chaotic Lorenz and Chen system, with different topological structure of attractors. We use the method of Multistep Fractional Differential Transform (FMDTM) as an analytical and numerical method for solving a wide variety of fractional differential equations, which will increase the interval of convergence for the series solution. In this case, it turns out that the Chen system is more sensitive to initial conditions than the Lorenz system. We use a reliable algorithm, Fractional Multistep Differential Transform method (FMDTM) with Drops to compare the results. Numerically obtained results are analyzed to compare various integration algorithms. The computer simulations demonstrate the reliability and efficiency of the algorithm developed.

Item Type:	Article
Subjects:	Q Science > Q Science (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	22 Feb 2020 18:41
Last Modified:	22 Feb 2020 18:41
URI:	http://eprints.unite.edu.mk/id/eprint/459

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