Zlatanovska, Biljana and Dimovski, Donco (2020) A modified Lorenz system: Definition and solution. Asian-European Journal of Mathematics, 13 (08). ISSN 1793-5571 | (online) 1793-7183
Full text not available from this repository.Abstract
Based on the approximations of the Lorenz system of differential equations from the papers [B. Zlatanovska and D. Dimovski, Systems of difference equations approximating the Lorentz system of differential equations, Contributions Sec. Math. Tech. Sci. Manu. XXXIII1–2 (2012) 75–96, B. Zlatanovska and D. Dimovski, Systems of difference equations as a model for the Lorentz system, in Proc. 5th Int. Scientific Conf. FMNS, Vol. I (Blagoevgrad, Bulgaria, 2013), pp. 102–107, B. Zlatanovska, Approximation for the solutions of Lorenz system with systems of differential equations, Bull. Math.41(1) (2017) 51–61], we define a Modified Lorenz system, that is a local approximation of the Lorenz system. It is a system of three differential equations, the first two are the same as the first two of the Lorenz system, and the third one is a homogeneous linear differential equation of fifth order with constant coefficients. The solution of this system is based on the results from [D. Dimitrovski and M. Mijatovic, A New Approach to the Theory of Ordinary Differential Equations (Numerus, Skopje, 1995), pp. 23–33].
| Item Type: | Article |
|---|---|
| Subjects: | Natural sciences > Matematics |
| Divisions: | Faculty of Computer Science |
| Depositing User: | Biljana Zlatanovska |
| Date Deposited: | 09 Oct 2020 11:42 |
| Last Modified: | 09 Oct 2020 11:42 |
| URI: | https://eprints.ugd.edu.mk/id/eprint/26641 |
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