Stability and nonlinear dynamics in a Solow model with pollution
Articles
Massimiliano Ferrara
University Mediterranea of Reggio Calabria, Italy
Luca Guerrini
Polytechnic University of Marche, Italy
Mauro Sodini
University of Pisa, Italy
Published 2014-07-07
https://doi.org/10.15388/NA.2014.4.3
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Keywords

pollution
Solow
time delay

How to Cite

Ferrara M., Guerrini L. and Sodini M. (2014) “Stability and nonlinear dynamics in a Solow model with pollution”, Nonlinear Analysis: Modelling and Control, 19(4), pp. 565-577. doi: 10.15388/NA.2014.4.3.

Abstract

In this paper, we introduce a time-to-build technology in a Solow model with pollution. We show that Hopf bifurcations occur as the delay passes through critical values. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem. Numerical experiments confirm the analytical results with regard to the emergence of nonlinear dynamics.

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