| 准对称流的混沌和共振流线 |
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| 引用本文： | 段晚锁,李继彬.准对称流的混沌和共振流线[J].应用数学,2004,17(4):603-611. |
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| 作者姓名： | 段晚锁 李继彬 |
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| 作者单位： | 1. 中国科学院大气物理研究所LASG,北京,100029
2. 昆明理工大学非线性科学研究中心,昆明,650093 |
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| 基金项目： | StateKeyLaboratoryResearchProject(40 0 2 30 0 1)，NationalNatureScientificFoundationofChina(40 2 330 2 9)andFoundationofInstituteofAtmosphericPhysics(8 0 4 12 ) |
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| 摘 要： | 采用计算Melnikov函数的方法 ,研究了描述qth(q=3或 6 )准对称流流体粒子运动的动力系统 .文中在分析未扰动系统轨道解析表示的基础上 ,深入考察了扰动系统的分岔情况 .结果表明 ,扰动系统在一定条件下能够分支出混沌和共振流线 .
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| 关 键 词： | 共振流线 混沌流线 Smale马蹄 异宿环 |
Chaotic and Resonant Stream Lines in the Quasi-symmetry Flows |
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| Abstract.Chaotic and Resonant Stream Lines in the Quasi-symmetry Flows[J].Mathematica Applicata,2004,17(4):603-611. |
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| Authors: | Abstract |
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| Abstract: | The dynamical systems associated with fluid particle motion of the qth order (q=3 or 6) quasi-symmetry flows are studied by using the Melnikov method.It is suggested that the quasi-symmetry flows (q=3 or 6) have chaotic and resonant stream lines under proper conditions,which,analytically,is given in this paper. |
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| Keywords: | Resonant stream lines Chaotic stream lines Smale horse shoes Heteroclinic cycles |
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