On dynamics of discrete model based on investment competition
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    Abstract:

    First , a discrete nonlinear dynamics model is set up based on investment competition for homogeneous enterprises in this paper. Then , the stability of fixed points and all kinds of bifurcations as well as chaos behaviors of this model are studied. Moreover , the economic meaning that the nonlinear dynamics characters of this model is discussed. The results show that chaos is generated by quasi2periodic transition and double2periodic bifurcation with parameter increasing in this model . The nonlinear dynamics behavior can effectively explain a kind of social econo2 my phenomenon that investment competition results in economic scale growth for a enterprise and down for another for homogeneous enterprises

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