Triple-zero singularity of a Kaldor–Kalecki model of business cycles with delay

Nonlinear Analysis

Xiaoqin P. Wu¹ 

[1] Mississippi Valley State University, USA;

关键词: Kaldor–Kalecki model of business cycles with delay;    triple-zero singularities;    Hopf;    BT;    zero-Hopf;    homoclinic bifurcations;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this manuscript, we study triple zero singularity of a Kaldor–Kalecki model of business cycles with delay in both the gross product and the capital stock. By using the frameworks of Campbell–Yuan [1] and Faria–Magalhães [2, 3], the normal form on the center manifold is derived for this singularity and hence the corresponding bifurcation diagrams such as Hopf, BT, zero-Hopf, and homoclinic bifurcations are obtained. An example is given to verify some theoretical results.

【 授权许可】

Unknown