| 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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| 中文摘要: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. |
| 中文关键词:时滞 Hopf 分叉 金融系统 |
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| The Stability of a Financial System with Time Delay |
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| Abstract:Taking the cumulative profits as the key elements, the financial system was investigated. Then, by introducing a delay as a bifurcation parameter, it is found that Hopf bifurcation occurs when τ 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 . |
| keywords:time delay Hopf bifurcation financial system |
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