Zlatanovska, Biljana and Dimovski, Donco (2017) Systems of differential equations approximating the Lorenz system. In: The Fourth Conference of Mathematical Society of the Republic of Moldova, June 28 – July 2 2017, Chisinau, Moldova.
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Abstract
By using modified Lorenz system from [1] as the system of
differential equations of seventh order which approximated the Lorenz system, we obtained four new systems of differential equations of third, fourth, fifth and sixth order. Every new system of differential equations is obtained using the solutions of the third differential equation from the modified Lorenz system. The third differential equation of modified Lorenz system is homogeneous linear differential equation of fifth order with constant coefficients which can be solved. By computer simulations we compare the local behavior of modified systems of differential equations with the global behavior of the Lorenz system.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Subjects: | Natural sciences > Matematics |
| Divisions: | Faculty of Computer Science |
| Depositing User: | Biljana Zlatanovska |
| Date Deposited: | 01 Nov 2017 13:32 |
| Last Modified: | 01 Nov 2017 13:32 |
| URI: | https://eprints.ugd.edu.mk/id/eprint/18367 |
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