Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation

被引：5

作者：

Khaliq, Abdul ^{[1
]}

Mustafa, Irfan ^{[1
]}

Ibrahim, Tarek F. ^{[2
,3
]}

Osman, Waleed M. ^{[4
]}

Al-Sinan, Bushra R. ^{[5
]}

Dawood, Arafa Abdalrhim ^{[6
]}

Juma, Manal Yagoub ^{[7
]}

机构：

[1] Riphah Int Univ, Dept Math, Lahore Campus, Islamabad 54000, Punjab, Pakistan

[2] King Khalid Univ, Fac Sci & Arts Mahayel, Dept Math, Abha 62529, Saudi Arabia

[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[4] King Khalid Univ, Fac Sci & Arts, Dept Math, Abha 62529, Saudi Arabia

[5] Univ Hafr Al Batin, Nairiyah Coll, Dept Adm & Financial Sci, Hafar al Batin 31991, Saudi Arabia

[6] King Khalid Univ, Fac Sci & Arts Sarat Abeda, Dept Math, Abha 62529, Saudi Arabia

[7] Univ Quassim, Fac Sci, Dept Math, Buraidaf 52571, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 02期

关键词：

difference equation; stability; fixed points; Neimark-Sacker bifurcation; phase portraits; SACKER BIFURCATION; GLOBAL DYNAMICS;

D O I：

10.3390/fractalfract7020113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a rational difference equation with positive parameters and non-negative conditions is used to determine the presence and direction of the Neimark-Sacker bifurcation. The neimark-Sacker bifurcation of the system is first studied using the characteristic equation. In addition, we study bifurcation invariant curves from the perspective of normal form theory. A computer simulation is used to illustrate the analytical results.

引用

页数：20

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