Hopf Bifurcation Analysis in a Dalayed Kaldor-Kalecki Model of Business Cycle
In this paper, we analyze the model of business cycle with time delay set forth by A. Krawiec and M. Szydłowski [1]. Our goal in this model is to introduce the time delay into capital stock and gross product in capital accumulation equation. The dynamics are studied in terms of local stability and...
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Vilnius University Press
2008-10-01
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| Series: | Nonlinear Analysis |
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| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14550 |
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doaj-08fd7010b06a48259e99add32c5e76442020-11-25T01:32:03ZengVilnius University PressNonlinear Analysis1392-51132335-89632008-10-0113410.15388/NA.2008.13.4.14550Hopf Bifurcation Analysis in a Dalayed Kaldor-Kalecki Model of Business CycleA. Kaddar0H. Talibi Alaoui1Universit´e Chouaib Doukkali, MoroccoUniversit´e Chouaib Doukkali, Morocco In this paper, we analyze the model of business cycle with time delay set forth by A. Krawiec and M. Szydłowski [1]. Our goal in this model is to introduce the time delay into capital stock and gross product in capital accumulation equation. The dynamics are studied in terms of local stability and of the description of the Hopf bifurcation, that is proven to exist as the delay (taken as a parameter of bifurcation) cross some critical value. Additionally we conclude with an application. http://www.journals.vu.lt/nonlinear-analysis/article/view/14550Kaldor-Kalecki business cycledelayed differential equationsHopf bifurcationperiodic solutions. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Kaddar H. Talibi Alaoui |
| spellingShingle |
A. Kaddar H. Talibi Alaoui Hopf Bifurcation Analysis in a Dalayed Kaldor-Kalecki Model of Business Cycle Nonlinear Analysis Kaldor-Kalecki business cycle delayed differential equations Hopf bifurcation periodic solutions. |
| author_facet |
A. Kaddar H. Talibi Alaoui |
| author_sort |
A. Kaddar |
| title |
Hopf Bifurcation Analysis in a Dalayed Kaldor-Kalecki Model of Business Cycle |
| title_short |
Hopf Bifurcation Analysis in a Dalayed Kaldor-Kalecki Model of Business Cycle |
| title_full |
Hopf Bifurcation Analysis in a Dalayed Kaldor-Kalecki Model of Business Cycle |
| title_fullStr |
Hopf Bifurcation Analysis in a Dalayed Kaldor-Kalecki Model of Business Cycle |
| title_full_unstemmed |
Hopf Bifurcation Analysis in a Dalayed Kaldor-Kalecki Model of Business Cycle |
| title_sort |
hopf bifurcation analysis in a dalayed kaldor-kalecki model of business cycle |
| publisher |
Vilnius University Press |
| series |
Nonlinear Analysis |
| issn |
1392-5113 2335-8963 |
| publishDate |
2008-10-01 |
| description |
In this paper, we analyze the model of business cycle with time delay set forth by A. Krawiec and M. Szydłowski [1]. Our goal in this model is to introduce the time delay into capital stock and gross product in capital accumulation equation. The dynamics are studied in terms of local stability and of the description of the Hopf bifurcation, that is proven to exist as the delay (taken as a parameter of bifurcation) cross some critical value. Additionally we conclude with an application.
|
| topic |
Kaldor-Kalecki business cycle delayed differential equations Hopf bifurcation periodic solutions. |
| url |
http://www.journals.vu.lt/nonlinear-analysis/article/view/14550 |
| work_keys_str_mv |
AT akaddar hopfbifurcationanalysisinadalayedkaldorkaleckimodelofbusinesscycle AT htalibialaoui hopfbifurcationanalysisinadalayedkaldorkaleckimodelofbusinesscycle |
| _version_ |
1725083447281582080 |