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

被引：1

作者：

Hadziabdic, Vahidin ^{[1
]}

Mehuljic, Midhat ^{[1
]}

Bektesevic, Jasmin ^{[1
]}

Masic, Adnan ^{[1
]}

机构：

[1] Univ Sarajevo, Dept Math & Phys, Fac Mech Engn, Sarajevo, Bosnia & Herceg

来源：

TEM JOURNAL-TECHNOLOGY EDUCATION MANAGEMENT INFORMATICS | 2021年 / 10卷 / 02期

关键词：

Equilibrium Point; Stability; Nullcline; Bifurcation;

D O I：

10.18421/TEM102-40

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：820 / 824

页数：5

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