Dimensionless Form for Goodwin's Equation of Business Cycle

被引：3

作者：

Antonova, A. O. ^{[1
]}

Reznik, S. N. ^{[2
]}

Todorov, M. D. ^{[3
]}

机构：

[1] Natl Aviat Univ, 1 Kosmonauvta Komarova Ave, UA-03058 Kiev, Ukraine

[2] Natl Acad Sci Ukraine, Inst Nucl Res, UA-03680 Kiev, Ukraine

[3] Tech Univ Sofia, Fac Appl Math & Comp Sci, BG-1000 Sofia, Bulgaria

来源：

APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES | 2012年 / 1487卷

关键词：

Business cycle; neutral delay equation; limit cycle; sawtooth oscillation; NONLINEAR ACCELERATOR; MODEL;

D O I：

10.1063/1.4758955

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We have conducted numerically a comparative analysis of two models of the business cycle proposed by R. Goodwin, Econometrica, 19, 1-17 (1951): in form of the neutral differential equation with fixed delay and in form of the second order nonlinear ordinary differential equation. Both models demonstrate the possibility of oscillations of income (so-called Goodwin's oscillations). We have shown that for these models the excitation conditions for Goodwin's oscillations and the some its properties may be very different.

引用

页码：168 / 175

页数：8

共 8 条

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