Bifurcation and Chaos in a Fractional-Order Cournot Duopoly Game Model on Scale-Free Networks
Fuat Gurcan,
Neriman Kartal,
Senol Kartal
Abstract:In this study, a Cournot duopoly model describing Caputo fractional-order differential equations with piecewise constant arguments is discussed. We have obtained two-dimensional discrete dynamical system as a result of applying the discretization process to the model. By using the center manifold theory and the bifurcation theory, it is shown that the discrete dynamical system undergoes flip bifurcation about the Nash equilibrium point. Phase portraits, bifurcation diagrams, and Lyapunov exponents show the exi… Show more
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