| 一类二维流场模型的周期解与浑沌解的共存性* |
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| 引用本文： | 袁晓凤,郭瑞海.一类二维流场模型的周期解与浑沌解的共存性*[J].应用数学和力学,1991,12(12):1067-1074. |
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| 作者姓名： | 袁晓凤 郭瑞海 |
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| 作者单位： | 1.中国科学院成都分院数理室; |
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| 摘 要： | 本文研究Kelvin-Stuart猫眼流在周期扰动下的动力学行为,运用Melnikov方法确定出振动型周期轨产生偶数阶次谐分枝、旋转型周期轨产生任意阶次谐分枝的条件,并进一步发现周期解与浑沌解共存的复杂现象.
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| 关 键 词： | 浑沌 分枝 横截 异宿环 同宿轨 猫眼流 涡旋 |
| 收稿时间： | 1990-10-22 |
Coexistence of the Chaos and the Periodic Solutions in Planar Fluid Flows |
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| Yuan Xiao-feng.Coexistence of the Chaos and the Periodic Solutions in Planar Fluid Flows[J].Applied Mathematics and Mechanics,1991,12(12):1067-1074. |
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| Authors: | Yuan Xiao-feng |
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| Institution: | 1.Institute of Mathematical Sciences, Chengdu Branch, Academia Sinica, Chengdu;2.Southwest Institute for Nationalities, Chengdu |
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| Abstract: | This paper discusses the dynamic behavior of the Kelvin-Stuart cat's eye flow under periodic perturbations. By means of the Melnikov method the conditions to have bifurcations to subharmonics of even order for the oscillating orbits and to have bifurcations to subharmonics of any order for the rotating orbits are given, and further, the coexistence phenomena of the chaotic motions and periodic solutions are presented. |
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| Keywords: | chaos bifurcation transverse heterocliuic cycle homoclinic orbit cat's eye flow vortex |
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