Codimension-2 bifurcations of the Kaldor model of business cycle

被引：19

作者：

Wu, Xiaoqin P. ^{[1
]}

机构：

[1] Mississippi Valley State Univ, Dept Math Comp & Informat Sci, Itta Bena, MS 38941 USA

来源：

CHAOS SOLITONS & FRACTALS | 2011年 / 44卷 / 1-3期

关键词：

D O I：

10.1016/j.chaos.2010.11.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, complete analysis is presented to study codimension-2 bifurcations for the nonlinear Kaldor model of business cycle. Sufficient conditions are given for the model to demonstrate Bautin and Bogdanov-Takens (BT) bifurcations. By computing the first and second Lyapunov coefficients and performing nonlinear transformation, the normal forms are derived to obtain the bifurcation diagrams such as Hopf, homoclinic and double limit cycle bifurcations. Some examples are given to confirm the theoretical results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：28 / 42

页数：15

共 19 条

[1]

[Anonymous], 2012, Applications of centre manifold theory

[2]

[Anonymous], 2004, ELEMENTS APPL BIFURC

[3]

[Anonymous], NONLINEAR ANAL RWA

[4] Multiple attractors and global bifurcations in a Kaldor-type business cycle model [J].

Bischi, GI ;

Dieci, R ;

Rodano, G ;

Saltari, E .

JOURNAL OF EVOLUTIONARY ECONOMICS, 2001, 11 (05) :527-554

[5] EXISTENCE AND PERSISTENCE OF CYCLES IN A NON-LINEAR MODEL - KALDORS 1940 MODEL RE-EXAMINED [J].

CHANG, WW ;

SMYTH, DJ .

REVIEW OF ECONOMIC STUDIES, 1971, 38 (113) :37-44

[6]

Chow S.-N., 1994, NORMAL FORMS BIFURCA

[7] COEXISTENCE OF A LIMIT-CYCLE AND AN EQUILIBRIUM IN KALDOR BUSINESS-CYCLE MODEL AND ITS CONSEQUENCES [J].

GRASMAN, J ;

WENTZEL, JJ .

JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 1994, 24 (03) :369-377

[8] A MODEL OF THE TRADE CYCLE [J].

Kaldor, N. .

ECONOMIC JOURNAL, 1940, 50 (197) :78-92

[9] A MACRODYNAMIC THEORY OF BUSINESS CYCLES [J].

Kalecki, M. .

ECONOMETRICA, 1935, 3 (03) :327-344

[10]

Kalecki M, 1936, REV ECON STUD, V4, P77

← 1 2 →