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：
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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.
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页码：333 / 353
页数：20
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