A particular solution of the third-order shortened Lorenz system via integrability of a class of differential equations

Zlatanovska, Biljana and Piperevski, Boro (2022) A particular solution of the third-order shortened Lorenz system via integrability of a class of differential equations. Asian-European Journal of Mathematics, 15 (10). ISSN 1793-5571, (online) 1793-7183

Text 10.1142/S1793557122502424 - Published Version Download (82kB)

Abstract

In this paper, from the expanded class of the second-order linear differential equations, a subclass will be obtained for which a new condition for reductability according to Frobenius will be obtained. Explicit formulas of a particular solution for the subclass of the second-order linear differential equations are obtained. The third-order shortened Lorenz system was obtained from the Modified Lorenz system. In this paper, a particular solution of the third-order shortened Lorenz system via the integrability of the subclass of the second-order linear differential equations under certain conditions is obtained. At the end, via graphical visualization in Mathematica, the theory is supported by examples.

Item Type:	Article
Subjects:	Natural sciences > Matematics
Divisions:	Faculty of Computer Science
Depositing User:	Biljana Zlatanovska
Date Deposited:	28 Nov 2022 09:51
Last Modified:	28 Nov 2022 09:51
URI:	https://eprints.ugd.edu.mk/id/eprint/30551

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