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The stability problem in the Kaldor-Kalecki business cycle model
Journal
Chaos, Solitons and Fractals
Author
Szydłowski Marek
Krawiec Adam
Number
2
Volume
25
Pages
299-305
ISSN
0960-0779
eISSN
1873-2887
Language
English
Journal language
English
Abstract in English
We consider the Kaldor-Kalecki model of the business cycle which is the modified Kaldor model with the Kalecki time delay in investment. The model is formulated in terms of a second-order nonlinear delay differential equation with a negative feedback. We investigate the problem of stability of cycles caused by retarded action. The method of a centre manifold is used to find the conditions for the Hopf bifurcation. The conditions for stability of limit cycles on the centre manifold is given.
Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium AstronomiczneWydział Zarządzania i Komunikacji Społecznej : Instytut Spraw Publicznych
Scopus© citations
44
| cris.lastimport.wos | 2024-04-09T19:28:13Z | |
| dc.abstract.en | We consider the Kaldor-Kalecki model of the business cycle which is the modified Kaldor model with the Kalecki time delay in investment. The model is formulated in terms of a second-order nonlinear delay differential equation with a negative feedback. We investigate the problem of stability of cycles caused by retarded action. The method of a centre manifold is used to find the conditions for the Hopf bifurcation. The conditions for stability of limit cycles on the centre manifold is given. | pl |
| dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne | pl |
| dc.affiliation | Wydział Zarządzania i Komunikacji Społecznej : Instytut Spraw Publicznych | pl |
| dc.contributor.author | Szydłowski, Marek - 132281 | pl |
| dc.contributor.author | Krawiec, Adam - 100491 | pl |
| dc.date.accessioned | 2020-05-25T10:34:50Z | |
| dc.date.available | 2020-05-25T10:34:50Z | |
| dc.date.issued | 2005 | pl |
| dc.description.number | 2 | pl |
| dc.description.physical | 299-305 | pl |
| dc.description.publication | 0,5 | pl |
| dc.description.volume | 25 | pl |
| dc.identifier.doi | 10.1016/j.chaos.2004.11.012 | pl |
| dc.identifier.eissn | 1873-2887 | pl |
| dc.identifier.issn | 0960-0779 | pl |
| dc.identifier.project | ROD UJ / O | pl |
| dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/156464 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights | Dodaję tylko opis bibliograficzny | * |
| dc.rights.licence | Bez licencji otwartego dostępu | |
| dc.rights.uri | * | |
| dc.subtype | Article | pl |
| dc.title | The stability problem in the Kaldor-Kalecki business cycle model | pl |
| dc.title.journal | Chaos, Solitons and Fractals | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
cris.lastimport.wos
2024-04-09T19:28:13Z dc.abstract.enpl
We consider the Kaldor-Kalecki model of the business cycle which is the modified Kaldor model with the Kalecki time delay in investment. The model is formulated in terms of a second-order nonlinear delay differential equation with a negative feedback. We investigate the problem of stability of cycles caused by retarded action. The method of a centre manifold is used to find the conditions for the Hopf bifurcation. The conditions for stability of limit cycles on the centre manifold is given. dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne dc.affiliationpl
Wydział Zarządzania i Komunikacji Społecznej : Instytut Spraw Publicznych dc.contributor.authorpl
Szydłowski, Marek - 132281 dc.contributor.authorpl
Krawiec, Adam - 100491 dc.date.accessioned
2020-05-25T10:34:50Z dc.date.available
2020-05-25T10:34:50Z dc.date.issuedpl
2005 dc.description.numberpl
2 dc.description.physicalpl
299-305 dc.description.publicationpl
0,5 dc.description.volumepl
25 dc.identifier.doipl
10.1016/j.chaos.2004.11.012 dc.identifier.eissnpl
1873-2887 dc.identifier.issnpl
0960-0779 dc.identifier.projectpl
ROD UJ / O dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/156464 dc.languagepl
eng dc.language.containerpl
eng dc.rights*
Dodaję tylko opis bibliograficzny dc.rights.licence
Bez licencji otwartego dostępu dc.rights.uri*
dc.subtypepl
Article dc.titlepl
The stability problem in the Kaldor-Kalecki business cycle model dc.title.journalpl
Chaos, Solitons and Fractals dc.typepl
JournalArticle dspace.entity.type
Publication Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Szydłowski, Marek
Wydział Zarządzania i Komunikacji Społecznej
Krawiec, Adam
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