一种双寡头垄断Cournot-Puu模型的混沌控制研究  

Chaos Control for the Duopoly Cournot-Puu Model

作　　者：都琳[1] 张莹[1] 胡高歌[1] 雷佑铭[1] 

机构地区：[1]西北工业大学理学院,西安710072

出　　处：《应用数学和力学》2017年第2期224-232,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11672233;11302169;11672232);中央高校基本科研业务费(3102014JCQ01081)~~

摘　　要：基于非线性动力学的基本原理,研究了经济系统中的双寡头垄断Cournot-Puu模型及其混沌控制方法.Cournot-Puu模型具有双曲线形需求函数和彼此不同的不变边际成本,离散化的差分系统显示出其复杂的非线性、分岔和混沌行为.在此基础上,结合Cournot-Puu模型的基本特征,应用延迟反馈控制方法以及自适应控制方法对该系统的混沌行为进行了研究.在结合实际经济意义的条件下,对该模型的输出进行调整并实现混沌控制.Based on the linearization method for nonlinear dynamics and the linear stability theoremthe duopoly Cournot-Puu model and the associated chaos control methods were investigated.In view of the essential features of the model-the delayed feedback control （DFC） method and the adaptive control method were applied to address the chaotic behavior of this system and to control chaos during the output adjustment process in the actual economic sense.The theoretical formulations were numerically simulated.Furthermore-the rational value ranges of the control parameters were given and the economic meanings of both the introduced control methods were discussed.

关 键 词：Cournot-Puu模型 混沌控制 延迟反馈控制 自适应控制 

分 类 号：O415.5[理学—理论物理]