| 离散FitzHugh-Nagumo系统的倍周期分支 |
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| 引用本文： | 蒋莹莹. 离散FitzHugh-Nagumo系统的倍周期分支[J]. 四川理工学院学报(自然科学版), 2008, 21(2): 21-23 |
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| 作者姓名： | 蒋莹莹 |
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| 作者单位： | 四川理工学院数学系,四川,自贡,643000 |
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| 摘 要： | 研究了一类离散的FitzHugh-Nagumo系统,从理论上分析了倍周期分支的存在性和稳定性,并证明了在一定条件下存在不稳定倍周期分支。
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| 关 键 词： | FitzHugh-Nagumo系统 倍周期分支 稳定性 |
| 文章编号： | 1673-1549(2008)02-0021-03 |
| 修稿时间： | 2007-07-01 |
Period Doubling Bifurcation in the Discrete FitzHugh-Nagumo System |
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| JIANG Ying-ying. Period Doubling Bifurcation in the Discrete FitzHugh-Nagumo System[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2008, 21(2): 21-23 |
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| Authors: | JIANG Ying-ying |
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| Abstract: | In this paper,a discrete FitzHugh-Nagumo system is investigated.The main focus of the paper is to study the existence and stability of the period doubling bifurcation by theoretical analysis in detail.Finally,we prove the existence of the unstable period doubling bifurcation. |
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| Keywords: | FitzHugh-Nagumo system period doubling bifurcation stability |
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