The Hopf bifurcation in the Kaldor-Kalecki model

被引：0

作者：

Szydlowski, M ^{[1
]}

Krawiec, A ^{[1
]}

机构：

[1] Jagiellonian Univ, Astron Observ, PL-30244 Krakow, Poland

来源：

COMPUTATION IN ECONOMICS, FINANCE AND ENGINEERING: ECONOMIC SYSTEMS | 2000年

关键词：

business cycle; limit cycles; functional differential equations;

D O I：

暂无

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

By using the theory of dynamical systems and especially the theory of Hopf bifurcations the existence of limit cycles in the Kaldor-Kalecki model is discussed. This model is a modified version of the 1940 Kaldor model of business cycle with introduced the time-to-build parameter in investment function in the Kalecki way. In this paper the model is investigated in an approximation of a small lag. It is shown that such a model can be reduced to the Lienard equation which has a bifurcation value of lag parameter. From the Hopf theorem the sufficient conditions for generation of the limit cycle on the phase space are obtained. It is demonstrated how the amplitude of oscillation depends on the value of a lag parameter. Copyright (C) 1998 IFAC.

引用

页码：391 / 396

页数：6

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