Dynamics and Stability of Hopf Bifurcation for One Non-linear System
Dynamics and Stability of Hopf Bifurcation for One Non-linear System
Author(s): Vahidin Hadžiabdić, Midhat Mehuljić, Jasmin Bektešević, Adnan MašićSubject(s): ICT Information and Communications Technologies
Published by: UIKTEN - Association for Information Communication Technology Education and Science
Keywords: Equilibrium Point; Stability; Nullcline; Bifurcation
Summary/Abstract: In this paper we will look at the one system of ODE and analyze it. We aim to determine the points of equilibrium; examine their character and establish the existence of a bifurcation for the corresponding parameter value. A detailed analysis of local stability was performed for all values of the given parameter. For a certain value of the parameter, the existence of supercritical Hopf bifurcation of the observed system of differential equations has been proved. Also, the existence of a limit cycle that is always stable has been proved.
Journal: TEM Journal
- Issue Year: 10/2021
- Issue No: 2
- Page Range: 820-824
- Page Count: 5
- Language: English