非线性因素的量子寡头博弈的动力学分析  

Dynamic analysis of quantum oligopoly game with nonlinear factors

作　　者：于红梅 褚衍东[1] YU Hongmei;CHU Yandong(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《商丘师范学院学报》2025年第3期6-11,共6页Journal of Shangqiu Normal University

基　　金：国家自然科学基金项目(61863022);中国博士后科学基金项目(2017M623276)。

摘　　要：通过引入量子纠缠参数,建立了一个具有非线性成本的并且考虑异质产品的量子Cournot动力学模型.研究了均衡点的稳定性,并通过数值模拟,着重分析了模型中的量子纠缠参数以及调整速度的改变对系统的全局及局部稳定性的影响.研究结果显示,微小的纠缠参数变化会显著影响模型的吸引盆,并引起吸引子共存现象,而调整速度改变会引发吸引盆边界发生多次接触分岔.量子纠缠系数的引入以及考虑的非线性因素,使模型更贴合实际.By introducing quantum entanglement parameters,a quantum Cournot dynamic model with nonlinear cost considering heterogeneous products is established.The stability of the equilibrium point is studied,and the influence of the quantum entanglement parameters in the model and the change of adjustment speed on the global and local stability of the system is analyzed through numerical simulation.The results show that the slight change of entanglement parameters can significantly affect the attraction pot of the model and cause the coexistence of attractors,while the change of adjustment speed will lead to multiple contact bifurcation of the attraction basin boundary.The introduction of quantum entanglement coefficients and the consideration of nonlinear factors make the model closer to real life.

关 键 词：量子纠缠 吸引子共存 分岔 稳定性 

分 类 号：O302[理学—力学] F224[经济管理—国民经济]