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[期刊论文]

Hopf Bifurcation and Dynamic Analysis of an Improved Financial System with Two Delays

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作者:

Kai, G. (Kai, G..) | Zhang, W. (Zhang, W..) (学者:张伟) | Jin, Z. (Jin, Z..) | 展开

收录:

EI Scopus SCIE

摘要:

The complex chaotic dynamics and multistability of financial system are some important problems in micro- and macroeconomic fields. In this paper, we study the influence of two-delay feedback on the nonlinear dynamics behavior of financial system, considering the linear stability of equilibrium point under the condition of single delay and two delays. The system undergoes Hopf bifurcation near the equilibrium point. The stability and bifurcation directions of Hopf bifurcation are studied by using the normal form method and central manifold theory. The theoretical results are verified by numerical simulation. Furthermore, one feature of the proposed financial chaotic system is that its multistability depends extremely on the memristor initial condition and the system parameters. It is shown that the nonlinear dynamics of financial chaotic system can be significantly changed by changing the values of time delays.

作者机构:

  • [ 1 ] [Kai, G.]Inner Mongolia Univ Financial & Econ, Sch Stat & Math, Hohhot 010070, Peoples R China
  • [ 2 ] [Wang, C. Z.]Inner Mongolia Univ Financial & Econ, Sch Stat & Math, Hohhot 010070, Peoples R China
  • [ 3 ] [Kai, G.]Inner Mongolia Univ Technol, Sch Mat Sci & Engn, Hohhot 010051, Peoples R China
  • [ 4 ] [Kai, G.]Inner Mongolia Key Lab Econ Data Anal & Min, Hohhot 010070, Peoples R China
  • [ 5 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 6 ] [Zhang, W.]Inner Mongolia Univ Technol, Dept Mech, Hohhot 010051, Peoples R China
  • [ 7 ] [Jin, Z.]Inner Mongolia Univ Financial & Econ, Sch Finance, Hohhot 010070, Peoples R China

通讯作者信息:

  • 张伟

    [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China;;[Zhang, W.]Inner Mongolia Univ Technol, Dept Mech, Hohhot 010051, Peoples R China;;[Jin, Z.]Inner Mongolia Univ Financial & Econ, Sch Finance, Hohhot 010070, Peoples R China

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来源 :

COMPLEXITY

ISSN: 1076-2787

年份: 2020

卷: 2020

2 . 3 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:46

被引次数:

WoS核心集被引频次: 9

SCOPUS被引频次: 10

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