一类投资竞争模型的复杂性分析

The Complexity Analysis of a Type of the Investment and Competition Model

从投资与收益关系的角度出发,建立了关于企业竞争的一个二维离散非线性动力学模型,运用稳定性理论以及非线性方法,分析了模型的倍周期分岔与混沌现象。该模型反映了一类投资竞争模型的特征,讨论了模型中出现的,由于互相竞争而导致的可忽略竞争对手的影响因子、均衡增长以及取决于初始条件的竞争力变化等情况下的复杂性行为,并通过数值仿真模拟了其在现实经济生活中的可行性。

Depending on the connection of investment and benefition, a two-dimensional nonlinear dynamic model that is scattered was established on the competition of enterprises. It was used to analyse the phenomenons in period-doubling bifurcation and chaos by stability theory and nonlinear ways. The model reflected the features of a type of the investment and competition models. Also it discussed some complexity actions, such as neglecting the infection of the conpetitor, poised growth and the changes of competition depending on the initial conditions. Otherwise, we simulated its feasibility in the real economic life by digtal imitation.