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 |
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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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