Multiple cycles and the Bautin bifurcation in the Goodwin model of a class struggle
Articles
Giovanni Bella
University of Cagliari, Italy
Published 2013-07-25
https://doi.org/10.15388/NA.18.3.14009
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Keywords

global indeterminacy
distibutive conflict
business cycles
Goodwin model

How to Cite

Bella G. (2013) “Multiple cycles and the Bautin bifurcation in the Goodwin model of a class struggle”, Nonlinear Analysis: Modelling and Control, 18(3), pp. 265-274. doi: 10.15388/NA.18.3.14009.

Abstract

The aim of this paper is to present the necessary and sufficient conditions for the emergence of a generalized Hopf (i.e., Bautin) bifurcation in the Goodwin’s model of a class struggle, and determine the parameter regions where multiple attracting and repelling limit cycles around the steady state may coexist.

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