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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… Click to show full 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:
hopf bifurcation;
system;
stability hopf;
bifurcation;
dynamics stability
Journal Title: TEM Journal
Year Published: 2021
Link to full text (if available)
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Journal Title: TEM Journal
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!