Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model

被引:8
作者
Kaddar, A. [1 ]
Alaoui, H. Talibi [1 ]
机构
[1] Univ Chouaib Doukkali, Fac Sci, Dept Math & Informat, El Jadida, Morocco
来源
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2009年 / 14卷 / 04期
关键词
Kaldor-Kalecki business cycle; delayed differential equations; Hopf bifurcation; periodic solutions;
D O I
10.15388/NA.2009.14.4.14468
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with a delayed Kaldor-Kalecki non-linear business cycle model in income. By applying a global Hopf bifurcation result due to Wu, the global existence of periodic solutions is investigated. Numerical examples will be given in the end, to illustrate our theoretical results.
引用
收藏
页码:463 / 472
页数:10
相关论文
共 18 条
[11]   A MODEL OF THE TRADE CYCLE [J].
Kaldor, N. .
ECONOMIC JOURNAL, 1940, 50 (197) :78-92
[12]   A MACRODYNAMIC THEORY OF BUSINESS CYCLES [J].
Kalecki, M. .
ECONOMETRICA, 1935, 3 (03) :327-344
[13]   ON NONLINEAR MECHANICS OF BUSINESS CYCLE MODEL [J].
Krawiec, A. ;
Szydlowski, M. .
REGULAR & CHAOTIC DYNAMICS, 2001, 6 (01) :101-117
[14]   The Kaldor-Kalecki business cycle model [J].
Krawiec, A ;
Szydlowski, M .
ANNALS OF OPERATIONS RESEARCH, 1999, 89 (0) :89-100
[15]  
NUSSBAUM RD, 1974, ANN MAT PUR APPL, V10, P263
[16]   The stability problem in the Kaldor-Kalecki business cycle model [J].
Szydlowski, M ;
Krawiec, A .
CHAOS SOLITONS & FRACTALS, 2005, 25 (02) :299-305
[17]   EXISTENCE OF LIMIT-CYCLES AND CONTROL IN COMPLETE KEYNESIAN SYSTEM BY THEORY OF BIFURCATIONS [J].
TORRE, V .
ECONOMETRICA, 1977, 45 (06) :1457-1466
[18]   Symmetric functional differential equations and neural networks with memory [J].
Wu, JH .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (12) :4799-4838