Vol.10, No.3, August 2021.                                                                                                                                                                               ISSN: 2217-8309

                                                                                                                                                                                                                         eISSN: 2217-8333

TEM Journal

TECHNOLOGY, EDUCATION, MANAGEMENT, INFORMATICS

Association for Information Communication Technology Education and Science

Stability of Non-Hyperbolic Equilibrium Point for Polynomial System of Differential Equations

Vahidin Hadžiabdić, Midhat Mehuljić, Jasmin Bektešević

© 2021 Vahidin Hadžiabdić, published by UIKTEN. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. (CC BY-NC-ND 4.0)

Citation Information: TEM Journal. Volume 10, Issue 3, Pages 1418-1422, ISSN 2217-8309, DOI: 10.18421/TEM103-52, August 2021.

Received: 23 April 2021.

Revised:   01 July 2021.
Accepted: 09 July 2021.
Published: 27 August 2021.

Abstract:

In this paper, a polynomial system of plane differential equations is observed. The stability of the non-hyperbolic equilibrium point was analyzed using normal forms. The nonlinear part of the differential equation system is simplified to the maximum. Two nonlinear transformations were used to simplify first the quadratic and then the cubic part of the system of equations.

Keywords : Equilibrium Point, Stability, Nullcline, Normal forms.

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