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Dynamic Analysis of Symmetric Duopoly Model with Conjectural Variation

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【作者】 徐晓周伟褚童

【Author】 XU Xiao;ZHOU Wei;CHU Tong;College of Mathematics and Physics ,Lanzhou Jiaotong University;College of Law,Zhejiang University of Finance and Economics;

【通讯作者】 周伟;

【机构】 College of Mathematics and Physics ,Lanzhou Jiaotong UniversityCollege of Law ,Zhejiang University of Finance and Economics

【摘要】 The symmetric dynamical model of a Cournot duopoly based on conjectural variation is established. Local stability of the equilibrium point is analyzed and the invariant sets are given. Then, dynamic behavior is studied by numerical simulation. With the change of gradient adjustment parameters, the routes to chaos vary. Synchronization occurs along the invariant sets accompanied by the on-off intermittency through the analysis of transverse stability. Coexistence of multiple attractors and structure of basins of attraction being more complex indicate more complicated bifurcation phenomena.

【基金】 National Natural Science Foundation of China(Nos.11962011 and 61463027);Humanities and Social Sciences from the Ministry of Education of China(No.15YJC820007)
  • 【分类号】F270;O19
  • 【下载频次】13
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