| Ginzberg-Landau方程的整体吸引子和多重脉动跳跃轨道 |
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| 引用本文： | 徐振源,李芳,胡爱花. Ginzberg-Landau方程的整体吸引子和多重脉动跳跃轨道[J]. 江南大学学报(自然科学版), 2005, 4(1): 89-93,104 |
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| 作者姓名： | 徐振源 李芳 胡爱花 |
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| 作者单位： | 江南大学,理学院,江苏,无锡,214122 |
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| 基金项目： | 国家自然科学基金项目(10372054)资助课题. |
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| 摘 要： | 证明了在周期边界条件下Ginzberg-Landau方程存在整体吸引子，估计了吸引子的维数，在偶周期边界条件下证明了多重脉动跳跃轨道的存在性，求得了连结不动点的多重脉动跳跃的广义Silnikov类型的解，同时研究了不变平面的不稳定流形通过多次跳跃的破裂。
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| 关 键 词： | 整体吸引子 多重脉动跳跃轨道 混沌 |
| 文章编号： | 1671-7147(2005)01-0089-05 |
Global Attractor and Multi-Pulse Jumping Homoclinic Orbits for Ginzberg-Landau Equations |
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| XU Zhen-yuan,LI Fang,HUI Ai-hua. Global Attractor and Multi-Pulse Jumping Homoclinic Orbits for Ginzberg-Landau Equations[J]. Journal of Southern Yangtze University:Natural Science Edition, 2005, 4(1): 89-93,104 |
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| Authors: | XU Zhen-yuan LI Fang HUI Ai-hua |
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| Abstract: | The existence of a global attractor for Ginzberg-Landau equations in the space periodic case is proved and the dimensions of the attractor are estimated. The existence of multi-pulse Jumping hompclinic orbits is proved under even periodic boundary conditions. Multi-pulse Jumping homoclinic Silnikov-type solutions is obtained. The breakdown of the unstable manifold of plane waves through repeated jumping is studied. |
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| Keywords: | Global attractor multi-pulse jumping orbits chaos |
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