Bifurcation Analysis and Chaos Control in a Modified Finance System with Delayed Feedback

被引：16

作者：

Yang, Jihua ^{[1
]}

Zhang, Erli ^{[2
]}

Liu, Mei ^{[1
,2
]}

机构：

[1] Ningxia Normal Univ, Dept Math & Comp Sci, Xueyuan Rd, Guyuan 756000, Peoples R China

[2] Zhengzhou Inst Finance & Econ, Dept Informat Engn, Tianhe Rd 36, Zhengzhou 475000, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2016年 / 26卷 / 06期

基金：

美国国家科学基金会;

关键词：

Stability; Hopf bifurcation; Hopf-zero bifurcation; chaos control; GLOBAL COMPLICATED CHARACTER; TOPOLOGICAL-STRUCTURE; CRISIS; KIND;

D O I：

10.1142/S0218127416501054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the effect of delayed feedback on the finance system, which describes the time variation of the interest rate, for establishing the fiscal policy. By local stability analysis, we theoretically prove the existences of Hopf bifurcation and Hopf-zero bifurcation. By using the normal form method and center manifold theory, we determine the stability and direction of a bifurcating periodic solution. Finally, we give some numerical solutions, which indicate that when the delay passes through certain critical values, chaotic oscillation is converted into a stable equilibrium or periodic orbit.

引用

页数：14

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