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Vol.10, No.2, May 2021. ISSN: 2217-8309 eISSN: 2217-8333
TEM Journal
TECHNOLOGY, EDUCATION, MANAGEMENT, INFORMATICS 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.
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.
Keywords –Equilibrium Point, Stability, Nullcline, Bifurcation. |
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