HOPF-BIFURCATION AND THE EXISTENCE AND STABILITY OF CLOSED ORBITS IN MULTI-SECTOR MODELS OF OPTIMAL ECONOMIC-GROWTH

被引：173

作者：

BENHABIB, J ^{[1
]}

NISHIMURA, K ^{[1
]}

机构：

[1] TOKYO METROPOLITAN UNIV,FAC ECON,MEGURO KU,TOKYO 158,JAPAN

来源：

JOURNAL OF ECONOMIC THEORY | 1979年 / 21卷 / 03期

关键词：

D O I：

10.1016/0022-0531(79)90050-4

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

It is shown that under very general circumstances, the standard optimal growth model with two or more capital goods can give rise to optimal trajectories that are limit cycles. An example with a nonjoint production Cobb-Douglass technology giving rise to closed cycles around a unique steady state is constructed. The stability of orbits is also studied. © 1979.

引用

页码：421 / 444

页数：24

共 37 条

[11] STRUCTURE AND STABILITY OF COMPETITIVE DYNAMICAL-SYSTEMS [J].

CASS, D ;

SHELL, K .

JOURNAL OF ECONOMIC THEORY, 1976, 12 (01) :31-70

[12] NONNEGATIVE SQUARE MATRICES [J].

Debreu, Gerard ;

Herstein, I. N. .

ECONOMETRICA, 1953, 21 (04) :597-607

[13]

Gantmacher F. R., 1960, THEORY MATRICES, V1

[14]

GANTMACHER FR, THEORY MATRICES, V2

[15]

Hartman P., 2010, CLASSICS APPL MATH, V38

[16]

HIROTA M, 1971, INT ECON REV, V12, P87

[17]

HIRSCH MW, 1976, DIFFERENTIAL EQUATIO

[18]

HOPF E, BIFURCATION PERIODIC

[19] EXISTENCE AND STABILITY OF SECONDARY PERIODIC-SOLUTION INTERVENING IN NAVIER-STOKES PROBLEMS OF EVOLUTION [J].

IOOSS, G .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1972, 47 (04) :301-&

[20]

JOSEPH DD, 1972, ARCH RATION MECH AN, V45, P79

← 1 2 3 4 →