Dynamical analysis of a third-order and a fourth-order shortened Lorenz systems

Zlatanovska, Biljana and Piperevski, Boro (2021) Dynamical analysis of a third-order and a fourth-order shortened Lorenz systems. Balkan Journal of Applied Mathematics and Informatics (BJAMI). ISSN 2545-4803

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Abstract

In [1], a Modified Lorenz system of the seventh-order is defined. In [2] from the Modified Lorenz system, shortened Lorenz systems of lower order are obtained. Between them, the third-order and fourth-order shortened Lorenz systems with the graphical presentations for their local behavior are found. In this paper, dynamical analysis of these systems in according to [3] will be done via: symmetry of the systems, dissipative of the systems, finding of the fixed point, analysis of the behavior of the systems in a neighborhood of the fixed point, and defining of Lyapunov function, which gives us the conditions for the stability and the asymptotical stability of the fixed point.

Item Type:	Article
Subjects:	Natural sciences > Matematics
Divisions:	Faculty of Computer Science
Depositing User:	Biljana Zlatanovska
Date Deposited:	27 Jan 2022 08:04
Last Modified:	27 Jan 2022 08:04
URI:	https://eprints.ugd.edu.mk/id/eprint/29130

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