广告竞争模型中的混沌同步特性分析

On analysis of chaotic synchronization in advertising competition model

提出一个基于V-W销售广告反应模型的二维离散广告竞争动态模型.在两家卖主竞争的市场中,企业可以生产相互替代的商品,运用广告促销吸引顾客,提高销量.在V-W模型的基础上,把广告投入作为控制量,采用线性反馈控制,通过数学分析和数值计算,得出模型中两个状态变量在一定参数下混沌同步.并且对混沌同步的稳定性进行了分析.

This paper presented a two-dimensional discrete dynamic competitive model in advertising based on the classic V-W model, namely the sales-advertising response model. In the duopoly market, goods produced by two companies are exchangeable, and so in order to increase sales they have to lend advertising to attract customers. Since advertising expenditures were used as control variable in this paper, the model could be regarded as a linear feedback control system. By means of mathematic analyzing and numerical computing, it can be obtained that two state variables is chaotic synchronization under certain parameters regions. Furthermore, the stability of the chaotic synchronization was also analyzed.