A dynamic IS-LM business cycle model with two time delays in capital accumulation equation

被引：28

作者：

Zhou, Lujun ^{[1
]}

Li, Yaqiong ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 228卷 / 01期

关键词：

Time delays; Asymptotically stable; Stability switch; Hopf bifurcation; IS-LM model; DIFFERENTIAL-EQUATIONS; MIXED DIFFERENCE; FLUCTUATIONS; STABILITY; SYSTEM; BUILD; LAGS;

D O I：

10.1016/j.cam.2008.09.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze a augmented IS-LM business cycle model with the capital accumulation equation that two time delays are considered in investment processes according to Kalecki's idea. Applying stability switch criteria and Hopf bifurcation theory, we prove that time delays cause the equilibrium to lose or gain stability and Hopf bifurcation occurs. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：182 / 187

页数：6

共 28 条

[1]

[Anonymous], NONLINEAR EC DYNAMIC

[2] Geometric stability switch criteria in delay differential systems with delay dependent parameters [J].

Beretta, E ;

Kuang, Y .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2002, 33 (05) :1144-1165

[3]

BOLDRIN M, 1984, APPL BIFURCATION THE

[4]

Cai J., 2005, ELECTRON J DIFFER EQ, V15, P1

[5] DISCRETE DELAY, DISTRIBUTED DELAY AND STABILITY SWITCHES [J].

COOKE, KL ;

GROSSMAN, Z .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 86 (02) :592-627

[6] A dynamic IS-LM model with delayed taxation revenues [J].

De Cesare, L ;

Sportelli, M .

CHAOS SOLITONS & FRACTALS, 2005, 25 (01) :233-244

[7] Speculative dynamics in a time-delay model of asset prices [J].

Dibeh, G .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 355 (01) :199-208

[8] Chaotic business cycles and fiscal policy: An IS-LM model with distributed tax collection lags [J].

Fanti, Luciano ;

Manfredi, Piero .

CHAOS SOLITONS & FRACTALS, 2007, 32 (02) :736-744

[9] THE CHARACTERISTIC SOLUTIONS OF A MIXED DIFFERENCE AND DIFFERENTIAL EQUATION OCCURRING IN ECONOMIC DYNAMICS [J].

Frisch, Ragnar ;

Holme, Harald .

ECONOMETRICA, 1935, 3 (02) :225-239

[10]

Gabisch G., 1989, BUSINESS CYCLE THEOR, V2nd

← 1 2 3 →