Vol.10, No.2, May 2021.                                                                                                                                                                                    ISSN: 2217-8309

                                                                                                                                                                                                                         eISSN: 2217-8333


TEM Journal



Association for Information Communication Technology Education and Science

Dynamics and Stability of Hopf Bifurcation for One Non-linear System


Vahidin Hadžiabdić, Midhat Mehuljić, Jasmin Bektešević, Adnan Mašić


© 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 2, Pages 820-824, ISSN 2217-8309, DOI: 10.18421/TEM102-40, May 2021.


Received: 10 September 2020.

Revised:   29 January 2021.
Accepted: 08 February 2021.
Published: 27 May 2021.




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.


Keywords –Equilibrium Point, Stability, Nullcline, Bifurcation.



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