HOPF BIFURCATIONS IN DYNAMICAL SYSTEMS VIA ALGEBRAIC TOPOLOGICAL METHOD

被引：0
|
作者：
Jawarneh, Ibrahim [1 ]
Altawallbeh, Zuhier [2 ]
机构：
[1] Al Hussein Bin Talal Univ, Dept Math, Maan 71111, Jordan
[2] Tafila Tech Univ, Dept Math, Tafila 66110, Jordan
来源：
MATEMATICKI VESNIK | 2023年 / 75卷 / 03期
关键词：
Supercritical Hopf bifurcation; subcritical Hopf bifurcation; stable limit cycle; unstable limit cycle; homological Conley index; Morse sets; ONE-PARAMETER FAMILIES; ORBITS; INDEX;
D O I：
10.57016/MV-rx451is8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A nonlinear phenomenon in nature is often modeled by a system of differential equations with parameters. The bifurcation occurs when a parameter varies in such systems, causing a qualitative change in its solution. In this paper, we study one of the most exciting bifurcations, which is Hopf bifurcation. We use tools from algebraic topology to analyze and reveal supercritical and subcritical Hopf bifurcations.
引用
收藏
页码：216 / 224
页数：9
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