Bifurcation control strategy for a fractional-order delayed financial crises contagions model

被引：2

作者：

Xu, Changjin ^{[1
]}

Aouiti, Chaouki ^{[2
,3
]}

Liu, Zixin ^{[4
]}

Qin, Qiwen ^{[5
]}

Yao, Lingyun ^{[6
]}

机构：

[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550025, Peoples R China

[2] Univ Carthage, Fac Sci Bizerta, UR13E547 Res Unit Math, Bizerte 7021, Tunisia

[3] Univ Carthage, Fac Sci Bizerta, UR13E547 Res Unit Applicat, Bizerte 7021, Tunisia

[4] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China

[5] Guizhou Univ Finance & Econ, Sch Econ, Guiyang 550025, Peoples R China

[6] Guizhou Univ Finance & Econ, Guiyang 550025, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 02期

基金：

中国国家自然科学基金;

关键词：

fractional-order delayed financial crises contagions model; delayed feedback controller; stability; bifurcation control; delay; bifurcation figure; BAM NEURAL-NETWORKS; PARAMETER-IDENTIFICATION; HOPF-BIFURCATION; DYNAMICS; SYSTEM; POLICY; CHAOS;

D O I：

10.3934/math.2022120

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a novel fractional-order delayed financial crises contagions model. The stability, Hopf bifurcation and its control of the established fractional-order delayed financial crises contagions model are studied. A delay-independent sufficient condition ensuring the stability and the occurrence of Hopf bifurcation for the fractional-order delayed financial crises contagions model is obtained. By applying time delay feedback controller, a novel delay-independent sufficient criterion guaranteeing the the stability and the occurrence of Hopf bifurcation for the fractional-order controlled financial crises contagions model with delays is set up.

引用

页码：2102 / 2122

页数：21

共 23 条

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