标题：Chaotic analysis of a Cournot model with the behavior rule of short-sighted eyes
作者：Huang, Qiuling ;Shi, Yuming ;Li, Zongcheng
作者机构：[Huang, Qiuling ;Shi, Yuming ] Department of Mathematics, Shandong University, Jinan, Shandong 250100, China;[Li, Zongcheng ] Department of Mathematic 更多
会议名称：4th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2011
会议日期：19 October 2011 through 21 October 2011
来源：Proceedings - 4th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2011
关键词：Chaos; Cournot model; Nash equilibrium; Snap-back repeller; Stability
摘要：In this paper, a nonlinear dynamical system is established for a Cournot duopoly model with the behavior rule of short-sighted eyes. The equilibrium points and their localstability are investigated. This model exhibits some chaotic behaviors in a certain range of the output adjusted coefficients. It is proved that the system is chaotic in the sense of both Devaney and Li-Yorke by employing the snap-back repeller theory. The complicated dynamical behaviors of the model are observed by computer simulations. In particular, this model exhibits a strange attractors when the output adjusted coefficients are taken as some different values. © 2011 IEEE.