| 一类具有时滞的金融系统的稳定性 |
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| 引用本文： | 陈红兵.一类具有时滞的金融系统的稳定性[J].经济数学,2014(1):106-110. |
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| 作者姓名： | 陈红兵 |
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| 作者单位： | 天水师范学院数统学院; |
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| 基金项目： | 甘肃省自然科学基金项目(096RJZE106);天水师范学院基金项目(TSA1314) |
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| 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.
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| 关 键 词： | 时滞 Hopf分叉 金融系统 |
The Stability of a Financial System with Time Delay |
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| CHEN Hong-bing.The Stability of a Financial System with Time Delay[J].Mathematics in Economics,2014(1):106-110. |
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| Authors: | CHEN Hong-bing |
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| Institution: | CHEN Hong-bing (School of Mathematics and Statistics, Tianshui Normal University, Tianshui, Gansu 741001 ,China) |
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| Abstract: | 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 . |
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| Keywords: | time delay Hopf bifurcation financial system |
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