古诺竞争
分叉
李雅普诺夫指数
非线性系统
混乱的
数学
不稳定性
有限理性
复杂动力学
应用数学
控制理论(社会学)
平衡点
李雅普诺夫函数
分岔图
计算机科学
数理经济学
数学分析
控制(管理)
物理
人工智能
量子力学
机械
作者
Liuwei Zhao,Jianguo Du,QiWei Wang
标识
DOI:10.1016/j.matcom.2019.01.004
摘要
In this work, a dynamic multi-market Cournot model is introduced based on a multi-markets’ specific inverse demand function. Puu’s incomplete information approach, as a realistic method, is used to contract the corresponding dynamical model under this function. Therefore, some stability analysis is used by the model to detect the stability and instability conditions of the system’s Nash equilibrium. Based on the analysis, some dynamic phenomena such as bifurcation and chaos are found. Numerical simulations and the Maximum Lyapunov exponent are used to provide experimental evidence for the complicated behaviors of the system evolution. It is observed that the equilibrium points of the system can loose stability via flip bifurcation or Neimark–Sacher bifurcation and time-delayed feedback control is used to stabilize the chaotic behaviors of the system.
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