一类具有时滞的金融系统的稳定性  

The Stability of a Financial System with Time Delay

作　　者：陈红兵[1] 

机构地区：[1]天水师范学院数统学院

出　　处：《经济数学》2014年第1期106-110,共5页Journal of Quantitative Economics

基　　金：甘肃省自然科学基金项目(096RJZE106);天水师范学院基金项目(TSA1314)

摘　　要：首先建立了一类具有时滞的金融模型,该模型以累计利润额为关键因素,接着以τ为参考元素研究了该模型的稳定性及Hopf分叉.发现当τ变化时,该系统的稳定性会发生变化,该模型会在某一确定值处出现Hopf分叉.最后用中心流形定理和规范型方法研究分叉周期解的稳定性.Taking the cumulative profits as the key elements, the financial system was investigated. Then, by introdu- cing a delay as a bifurcation parameter, it is found that Hopf bifurcation occurs when r crosses some critical values. Further, the stability and Hopf bifurcation of the periodic solution were studied. The method used is the center manifold method and normal form theory .

关 键 词：时滞 HOPF分叉 金融系统 

分 类 号：O175.17[理学—数学]