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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1002/jps.3080210510

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1573-269X

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The complex dynamics of RampD competition models

Authors: Ting Li Junhai Ma
Publish Date: 2013/05/24
Volume: 74, Issue: 1-2, Pages: 45-54
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Abstract

This paper uses the theory of bifurcations of dynamical systems considering RD input competition model in oligopoly market with heterogeneous rationality We assume that cooperation as well as competition exists among the oligarchs which are closer to reality and different from previous studies On the basis of analyzing the stabilities of four fixed points in the threedimensional dynamic system a local stable region of Nash equilibrium is obtained Simulation results show that the adjustment of RD input speed has an obvious impact on the complexity of competition and also show that the system profit will decrease when it is in chaos So this paper discusses the application of parameters control method when the model is in chaos and then allows the oligarchs to eliminate the negative effects

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