About the solutions of the Modified Lorenz system

Zlatanovska, Biljana and Dimovski, Donco and Kocaleva, Mirjana (2023) About the solutions of the Modified Lorenz system. In: FMNS 2023, 14-18 June 2023, Blagoevgrad, Bulgaria.. (Submitted)

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Abstract

A Modified Lorenz system is a system of three differential equations. The third differential equation in the Lorenz system is replaced with a 5th-order linear homogeneous
differential equation with constant coefficients. In the paper [B. Zlatanovska and D. Di�movski, A Modified Lorenz System: Definition and Solution, Asian-European Journal
of Mathematics, Vol.13, No.08, 2050164 (2020)], the Modified Lorenz system is defined
by offering a solution, but without solving the 5th-order linear homogeneous differential
equation with constant coefficients. This differential equation is solved by solving the
characteristic equation of the 5th degree. A formula for solving the algebraic equation of the
5th degree does not exist. Therefore, solutions for the special cases of the characteristic
equation of the 5th degree will be offered. The solution of the Modified Lorenz system will
be completed using these forms of the characteristic equation of the 5th degree.

Item Type:	Conference or Workshop Item (Speech)
Subjects:	Natural sciences > Matematics
Divisions:	Faculty of Computer Science
Depositing User:	Biljana Zlatanovska
Date Deposited:	11 Dec 2023 09:34
Last Modified:	11 Dec 2023 09:34
URI:	https://eprints.ugd.edu.mk/id/eprint/32832

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