Title: Global Dynamics of a Certain Nonlinear System of Differential Equations with the Appearance of Hopf Bifurcation
Abstract: In this paper, a certain system of ordinary differential equations is observed and the existence of Hopf bifurcation is analyzed. A detailed analysis of local stability depending on the parameters was performed. During the analysis of global stability, the existence of an stable limit cycle surrounding the unstable equilibrium point and Hopf bifurcations was shown. This case was found to be a supercritical Hopf bifurcation.Several nullclines and a bifurcation diagram for certain parameter values are graphically illustrated.
Publication Year: 2023
Publication Date: 2023-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 1
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