Stability of Non-Hyperbolic Equilibrium Point for Polynomial System of Differential Equations
Stability of Non-Hyperbolic Equilibrium Point for Polynomial System of Differential Equations
Author(s): Vahidin Hadžiabdić, Midhat Mehuljić, Jasmin BekteševićSubject(s): ICT Information and Communications Technologies
Published by: UIKTEN - Association for Information Communication Technology Education and Science
Keywords: Equilibrium Point; Stability; Nullcline; Normal forms
Summary/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.
Journal: TEM Journal
- Issue Year: 10/2021
- Issue No: 3
- Page Range: 1418-1422
- Page Count: 5
- Language: English
