首页|Appearance of closed invariant curves in a piecewise Cournot model with advertising
Appearance of closed invariant curves in a piecewise Cournot model with advertising
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NSTL
Elsevier
In the present paper we investigate two cases which can explain what happens when the Cournot equilibrium of a duopoly model loses stability through a Neimark-Sacker bifurcation of subcritical type. This kind of bifurcation involves complex dynamics which lead to the appearance of closed invariant curves. We analyze a Cournot model where competitors hold different plants and compete on advertising quantities. The model is described by a two-dimensional piecewise map in discrete time. Making use of analytical results and numerical simulations, we show that the appearance/disapearance of closed invariant curves is directly related to two different mecha-nisms, namely homoclinic bifurcations and border collision bifurcations.(c) 2022 Elsevier Ltd. All rights reserved.
NSTL
Elsevier
