中文摘要：

为深入分析航空公司动态价格竞争的复杂性,以及检验政府价格调控政策的有效性,构建了双寡头垄断的航空公司动态价格竞争模型.运用非线性动力学理论,讨论了模型均衡点的存在性与稳定性,实现了政府价格调控政策的数学化表达,并数值仿真了不同条件下模型复杂的动力学行为.仿真结果表明：航空公司价格调整速度对模型的稳定性有明显的影响;与均衡状态相比,分岔和混沌状态下的航空公司平均利润均显著下降;民航局对航空运输市场实施政府指导定价措施是有必要且有效的;两种政府价格调控政策均能使无序的市场竞争趋于有序;政府调控政策的关键是科学制定价格浮动幅度.

英文摘要：

To investigate the complex dynamics of airlines＇ price competition and to verify the effectiveness of the government price regulation policies, this study develops a dynamic price competition model of airlines with duopoly. The model is based on the theory of bifurcation of dynamical systems. The existence and stability of equilibrium points of this model are also discussed. The complex dynamics of this model in different market parameters are examined by numerical simulation. The results show that the speed of price adjustment has an obvious impact on the stability of model. Compared with the equilibrium average profits, all airlines＇ average profits decrease obviously when chaos is occurred. It＇s necessary and effective for CAAC to implement the price regulation policies. Two kinds of regulation policies are both effective to make chaotic price competition well- ordered. The key of regulation policies is to give an appropriate range of floating price.