Subject: Matematics
Year: 2021
Type: Article
Type: PeerReviewed
Title: Dynamical analysis of a third-order and a fourth-order shortened Lorenz systems
Author: Zlatanovska, Biljana
Author: Piperevski, Boro
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.
Publisher:
Relation: https://eprints.ugd.edu.mk/29130/
Identifier: oai:eprints.ugd.edu.mk:29130
Identifier: https://eprints.ugd.edu.mk/29130/1/4376-Article%20Text-8188-1-10-20211223.pdfIdentifier: 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
