| 一类非线性金融系统的hopf分岔研究 |
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| 引用本文： | 张荣艳. 一类非线性金融系统的hopf分岔研究[J]. 四川理工学院学报(自然科学版), 2012, 0(2): 81-83 |
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| 作者姓名： | 张荣艳 |
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| 作者单位： | 黄河科技学院信息工程学院 |
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| 基金项目： | 黄河科技学院自然科学基金项目(KYZR201115) |
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| 摘 要： | 研究了一类非线性金融系统。首先利用特征方程和Routh Hurwitz准则对系统的平衡点的稳定性和hopf分岔的存在性进行了研究;其次利用解析法研究了系统hopf的分岔方向和分岔稳定性;最后证明了在一定条件下,系统的hopf分岔是亚临界的。
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| 关 键 词： | 金融系统 非线性 稳定性 hopf分岔 |
Study on the Hopf Bifurcation of a Kind of Non-linear Finance System |
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| ZHANG Rong-yan. Study on the Hopf Bifurcation of a Kind of Non-linear Finance System[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2012, 0(2): 81-83 |
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| Authors: | ZHANG Rong-yan |
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| Affiliation: | ZHANG Rong-yan(Information Enginearing School,Huanghe Science and Technology College,Zhengzhou 450063,China) |
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| Abstract: | A kind of non-linear finance system is studied.First,the stability of the equilibrium and the existence of the hopf bifurcation of the system are studied by analyzing the characteristic equation and Routh Hurwitz criterion;second,the direction and stability of the bifurcation is investigated by using analytical method;finally,the non-linear finance system is proved to be a subcritical hopf bifurcation under certain conditions. |
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| Keywords: | finance system nonlinearity stability hopf bifurcation |
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