| Willis环状脑动脉瘤生物数学模型的分枝与浑沌 |
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| 引用本文： | 刘天一,李崇孝. Willis环状脑动脉瘤生物数学模型的分枝与浑沌[J]. 云南工业大学学报, 1990, 0(4) |
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| 作者姓名： | 刘天一 李崇孝 |
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| 作者单位： | 昆明师专，云南工学院 |
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| 基金项目： | 云南省科委应用基础研究基金资助的课题 |
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| 摘 要： | 本文对G.Austin模拟脑动脉瘤的实验进行讨论,归结出脑动脉瘤的一个生物数学模型,再用Melnikov方法研究了模型的周期扰动系统的次谐波分枝和浑沌行为,最后,讨论了其对动脉瘤的影响。
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| 关 键 词： | 脑动脉瘤 生物数学模型 分枝 浑沌 |
Bifurcations and Chaotic Behavior in the Biomathematical Modelof Aneurysm of Circle of Willis |
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| Liu Tianyi. Bifurcations and Chaotic Behavior in the Biomathematical Modelof Aneurysm of Circle of Willis[J]. , 1990, 0(4) |
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| Authors: | Liu Tianyi |
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| Affiliation: | Liu Tianyi (Kunming Junior Normal College) Li Chongxiao (Yunnan Engineering Insitute) |
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| Abstract: | In this paper, the G. Austin's simulation experiment of aneurysm is analyzed, and then a biomathematical model for the aneurysm is derived. Accordingly the subharmonic bifurcation of the periodic perturbation system of this model as well as it's Chaotic beharviore are studied by Melnikov method. Furthermore the influences of these beharviors over aneurysm are discussed. |
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| Keywords: | Aneurysm Biomathematical model Bifurcation Chaos |
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