Hopf Bifurcation Analysis in a Delayed Kaldor-Kalecki Model of Business Cycle

被引：26
|
作者：
Kaddar, A. [1 ]
Talibi Alaoui, H. [1 ]
机构：
[1] Univ Chouaib Doukkali, Fac Sci, Dept Math & Informat, El Jadida, Morocco
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2008年 / 13卷 / 04期
关键词：
Kaldor-Kalecki business cycle; delayed differential equations; Hopf bifurcation; periodic solutions;
D O I：
10.15388/NA.2008.13.4.14550
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze the model of business cycle with time delay set forth by A. Krawiec and M. Szydlowski [1]. Our goal in this model is to introduce the time delay into capital stock and gross product in capital accumulation equation. The dynamics are studied in terms of local stability and of the description of the Hopf bifurcation, that is proven to exist as the delay (taken as a parameter of bifurcation) cross some critical value. Additionally we conclude with an application.
引用
收藏
页码：439 / 449
页数：11
相关论文
共 50 条
  • [1] Local Hopf Bifurcation and Stability of Limit Cycle in a Delayed Kaldor-Kalecki Model
    Kaddar, A.
    Alaoui, H. Talibi
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2009, 14 (03): : 333 - 343
  • [2] Zero-Hopf bifurcation analysis of a Kaldor-Kalecki model of business cycle with delay
    Wu, Xiaoqin P.
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) : 736 - 754
  • [3] The Hopf bifurcation in the Kaldor-Kalecki model
    Szydlowski, M
    Krawiec, A
    [J]. COMPUTATION IN ECONOMICS, FINANCE AND ENGINEERING: ECONOMIC SYSTEMS, 2000, : 391 - 396
  • [4] BIFURCATION ANALYSIS OF A KALDOR-KALECKI MODEL OF BUSINESS CYCLE WITH TIME DELAY
    Wang, Liancheng
    Wu, Xiaoqin P.
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009,
  • [5] The Kaldor-Kalecki business cycle model
    Krawiec, A
    Szydlowski, M
    [J]. ANNALS OF OPERATIONS RESEARCH, 1999, 89 (0) : 89 - 100
  • [6] The Kaldor-Kalecki stochastic model of business cycle
    Mircea, Gabriela
    Neamtu, Mihaela
    Opris, Dumitru
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2011, 16 (02): : 191 - 205
  • [7] Analysis of Coherence Resonance in Kaldor-Kalecki Business Cycle Model
    Nobukawa, Sou
    Hashimoto, Ryohei
    Nishimura, Haruhiko
    Yamanishi, Teruya
    Chiba, Masaru
    [J]. 2016 JOINT 8TH INTERNATIONAL CONFERENCE ON SOFT COMPUTING AND INTELLIGENT SYSTEMS (SCIS) AND 17TH INTERNATIONAL SYMPOSIUM ON ADVANCED INTELLIGENT SYSTEMS (ISIS), 2016, : 243 - 247
  • [8] The stability problem in the Kaldor-Kalecki business cycle model
    Szydlowski, M
    Krawiec, A
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 25 (02) : 299 - 305
  • [9] Bifurcation analysis for the Kaldor-Kalecki model with two delays
    Cao Jianzhi
    Sun Hongyan
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [10] Kaldor-Kalecki stochastic model of business cycles
    Mircea, Gabriela
    Neamtu, Mihaela
    Cismas, Laura
    Opris, Dumitru
    [J]. RECENT ADVANCES IN MATHEMATICS AND COMPUTERS IN BUSINESS, ECONOMICS, BIOLOGY & CHEMISTRY, 2010, : 86 - +
12345