Analisys of the local stability with a linearization of the non-linear differential equations’ system

Janeska, Margarita and Taleska, Suzana (2000) Analisys of the local stability with a linearization of the non-linear differential equations’ system. In: International Conference on Complex Analysis, Differential Equations and related topics, Ufa, Russia.

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Abstract

The integral calculation and the differential equations represent relevant mathematics techniques for the dynamic analysis of variables that are tested in case when the time is considered to be a continuous variable. It means that in the dynamic models are described the variable’s time movements with differential equations. Since in this study a system of non-linear differential equations is considered, it means that there are more variables (two in our case) at the same time. In order to obtain the required solution that is – Particular integrals (the inter-time values of balance of different variables) and the complimentary functions (balance deviation), linearization of non-differential equations’ system is carried out. This linearization is carried out by the help of the Taylor’s development of the given system around its balance. Based on such a linearization, an analysis is made on the local stability of the variables and their balance.

Item Type: Conference or Workshop Item (Paper)
Subjects: Scientific Fields (Frascati) > Social Sciences > Economics and Business
Divisions: Faculty of Economics
Depositing User: Mr Dimitar Risteski
Date Deposited: 05 Feb 2020 12:12
Last Modified: 05 Feb 2020 12:12
URI: http://eprints.uklo.edu.mk/id/eprint/2399

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