东华大学学报(英文版)

2020, v.37(02) 143-149

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Dynamic Analysis of Symmetric Duopoly Model with Conjectural Variation
Dynamic Analysis of Symmetric Duopoly Model with Conjectural Variation

徐晓;周伟;褚童;

摘要(Abstract):

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.

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基金项目(Foundation): National Natural Science Foundation of China(Nos.11962011 and 61463027);; Humanities and Social Sciences from the Ministry of Education of China(No.15YJC820007)

作者(Author): 徐晓;周伟;褚童;

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