# American Institute of Mathematical Sciences

## On dynamics in a medium-term Keynesian model

 1 Faculty of Economics, Chuo University, 742-1, Higashi-Nakano, Hachioji, Tokyo 192-0393, Japan 2 Faculty of Economics, Matej Bel University, Tajovského 10,975 90 Banská Bystrica, Slovakia

* Corresponding author: Hiroki Murakami

Received  November 2020 Revised  April 2021 Published  May 2021

This paper rigorously examines the (in)stability of limit cycles generated by Hopf bifurcations in a medium-term Keynesian model. The bifurcation equation of the model is derived and the conditions for stable and unstable limit cycles are presented. Numerical simulations are performed to illustrate the analytical results.

Citation: Hiroki Murakami, Rudolf Zimka. On dynamics in a medium-term Keynesian model. Discrete & Continuous Dynamical Systems - B, doi: 10.3934/dcdsb.2021145
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Solution path with (72)

Solution path with (45)

Solution paths projected on $K$-$P$ plane
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