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为深入分析航空公司动态价格竞争的复杂性，运用非线性动力学的分支理论，构建了基于差异化的航空公司动态价格竞争模型，依据动力学稳定性判定条件，讨论了该模型均衡点的存在性、存在个数与稳定性，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，一旦价格调整速度超过某一临界值，系统将表现出分岔、混沌等复杂的动力学现象；与Nash均衡利润相比，在混沌状态下航空公司的利润均显著下降；差异化战略对航空公司定价、利润有重要影响，保持和加强对竞争对手的差异化优势有助于自身获得更大的市场竞争优势.

Complex Dynamics for Airlines' Price Competition with Differentiation Strategy

To investigate the complex dynamics for airlines’ price competition, this paper proposes a price competition model of airlines with differentiation strategy and with the theory of bifurcation of dynamical systems. The existence and stability of equilibrium points of the model are discussed according to dynamic stability criteria. The complex dynamics of this model in different market parameters are shown though numerical simulation. The simulation results show that the speed of price adjustment has a significant impact on the stability of the model, while the speed of price adjustment is larger than critical value, and the phenomenon of bifurcation and chaos will appear on the dynamic system. Compared with the Nash equilibrium profits, all airlines’ profits are decreased obviously when chaos is occurred. Differentiation has an important impact on airlines’ price and profits, it’s helpful to have more competition advantage that to keep and strengthen the differentiation advantage against the competitors.