Business–Cycle Models and the Dangers of Linearizing

被引：0

作者：

O. Kozlovski

P. Pintus

S. van Strien

R. de Vilder

机构：

[1] Warwick University,Department of Mathematics

[2] Université de la Mediterranée Aix-Marseille II,GREQAM and Department of Economics

[3] DELTA-CNRS-EHESS-ENS,Department of Mathematics

[4] University of Amsterdam,undefined

来源：

Journal of Optimization Theory and Applications | 2006年 / 128卷

关键词：

Nonlinear dynamical systems; linearization; Bogdanov-Takens bifurcation; chaos;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper studies the consequences of linearizing nonlinear business–cycle models near their interior steady state. It is shown that dynamic objects, created for example in a Bogdanov-Takens bifurcation, may be lost in the linearization procedure. Sufficient conditions are provided ensuring the absence of various dynamic features in the nonlinear version of the model.

引用

页码：333 / 353

页数：20