Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model

This paper is concerned with a delayed Kaldor-Kalecki non-linear business cycle model in income. By applying a global Hopf bifurcation result due to Wu, the global existence of periodic solutions is investigated. Numerical examples will be given in the end, to illustrate our theoretical results....

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Main Authors:	A. Kaddar, H. Talibi Alaoui
Format:	Article
Language:	English
Published:	Vilnius University Press 2009-10-01
Series:	Nonlinear Analysis
Subjects:	Kaldor-Kalecki business cycle delayed differential equations Hopf bifurcation periodic solution
Online Access:	http://www.journals.vu.lt/nonlinear-analysis/article/view/14468

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spelling	doaj-0e86d6475f224b95956f3730714bd0a42020-11-24T22:11:48ZengVilnius University PressNonlinear Analysis1392-51132335-89632009-10-0114410.15388/NA.2009.14.4.14468Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki ModelA. Kaddar0H. Talibi Alaoui1Universit´e Chouaib Doukkali, MoroccoUniversit´e Chouaib Doukkali, Morocco This paper is concerned with a delayed Kaldor-Kalecki non-linear business cycle model in income. By applying a global Hopf bifurcation result due to Wu, the global existence of periodic solutions is investigated. Numerical examples will be given in the end, to illustrate our theoretical results. http://www.journals.vu.lt/nonlinear-analysis/article/view/14468Kaldor-Kalecki business cycledelayed differential equationsHopf bifurcationperiodic solution
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Kaddar H. Talibi Alaoui
spellingShingle	A. Kaddar H. Talibi Alaoui Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model Nonlinear Analysis Kaldor-Kalecki business cycle delayed differential equations Hopf bifurcation periodic solution
author_facet	A. Kaddar H. Talibi Alaoui
author_sort	A. Kaddar
title	Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model
title_short	Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model
title_full	Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model
title_fullStr	Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model
title_full_unstemmed	Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model
title_sort	global existence of periodic solutions in a delayed kaldor-kalecki model
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2009-10-01
description	This paper is concerned with a delayed Kaldor-Kalecki non-linear business cycle model in income. By applying a global Hopf bifurcation result due to Wu, the global existence of periodic solutions is investigated. Numerical examples will be given in the end, to illustrate our theoretical results.
topic	Kaldor-Kalecki business cycle delayed differential equations Hopf bifurcation periodic solution
url	http://www.journals.vu.lt/nonlinear-analysis/article/view/14468
work_keys_str_mv	AT akaddar globalexistenceofperiodicsolutionsinadelayedkaldorkaleckimodel AT htalibialaoui globalexistenceofperiodicsolutionsinadelayedkaldorkaleckimodel
_version_	1725804068593467392

Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model

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