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.
Multiple cycles and the Bautin bifurcation in the Goodwin model of a class struggle
BELLA, GIOVANNI
2013-01-01
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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