基于企业竞争网络投资模型的同步稳定性分析  

Synchronous Stability Analysis of an Investment Model Based on Corporation Competition Network

作　　者：沈秀专[1] 张淑华[1] 谢冰[1] 

机构地区：[1]青岛科技大学数理学院,山东青岛266061

出　　处：《复杂系统与复杂性科学》2009年第3期77-80,共4页Complex Systems and Complexity Science

摘　　要：在企业竞争网络上建立了一个多维离散的非线性动力学投资模型。基于李亚普诺夫直接法和不动点分析法对模型中企业个体投资行为的同步稳定性做出分析。分析得到:同类企业的投资行为是否保持同步稳定增长与企业竞争对手的数量以及刺激因子有关。数值模拟表明了理论分析的合理性。A muhi-dimensional nonlinear dynamic investment model is established based on a corporation competition network. Lyapunov function and fixed-point analysis are applied to analyze the stability of the synchronous behavior about corporation investment. The results show that investment of same class corpo- rations synchronous increase or not relates to the number of business competitors as well as stimulating factor. Numerical simulations verify the correctness of the theoretic analysis.

关 键 词：企业竞争网络 投资模型 李亚普诺夫函数 不动点分析 同步稳定性 

分 类 号：N941.4[自然科学总论—系统科学] O29[理学—应用数学]