Local Hopf Birurcation and Stability of Limit Cycle in a Delayed Kaldor-Kalecki Model
Articles
A. Kaddar
Universit´e Chouaib Doukkali, Morocco
H. Talibi Alaoui
Universit´e Chouaib Doukkali, Morocco
Published 2009-07-20
https://doi.org/10.15388/NA.2009.14.3.14499
PDF

Keywords

Kaldor-Kalecki business cycle
delayed differential equations
Hopf bifurcation
periodic solutions

How to Cite

Kaddar, A. and Talibi Alaoui, H. (2009) “Local Hopf Birurcation and Stability of Limit Cycle in a Delayed Kaldor-Kalecki Model”, Nonlinear Analysis: Modelling and Control, 14(3), pp. 333–343. doi:10.15388/NA.2009.14.3.14499.

Abstract

We consider a delayed Kaldor-Kalecki business cycle model. We first consider the existence of local Hopf bifurcation, and we establish an explicit algorithm for determining the direction of the Hopf bifurcation and the stability or instability of the bifurcating branch of periodic solutions using the methods presented by O. Diekmann et al. in [1]. In the end, we conclude with an application.

PDF

Downloads

Download data is not yet available.