| 扰动Sine-Gordon方程的横截异宿轨 |
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| 引用本文： | 吴然超,孙建华. 扰动Sine-Gordon方程的横截异宿轨[J]. 南京大学学报(自然科学版), 2006, 23(1): 19-26 |
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| 作者姓名： | 吴然超 孙建华 |
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| 作者单位： | 安徽大学数学与计算科学学院,合肥,230039;南京大学数学系,南京,210093;南京大学数学系,南京,210093 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(No: 10471059)The Innovation Group Foundation of Anhui University. |
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| 摘 要： | 本文研究了sine-Gordon方程的异宿轨在扰动下的保持性．利用无穷维Melnikov分析,证明了横截异宿轨的存在性,进而扰动系统有混沌发生．
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| 关 键 词： | Melnikov函数 异宿轨 Sine-Gordon方程 混沌 |
| 修稿时间： | 2005-03-10 |
TRANSVERSAL HETEROCLINIC ORBITS FOR A PERTURBED SINE-GORDON EQUATION |
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| Wu Ranchao,Sun Jianhua. TRANSVERSAL HETEROCLINIC ORBITS FOR A PERTURBED SINE-GORDON EQUATION[J]. Journal of Nanjing University: Nat Sci Ed, 2006, 23(1): 19-26 |
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| Authors: | Wu Ranchao Sun Jianhua |
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| Abstract: | In this paper, the persistence of heteroclinic orbits for a sine-Gordon equation under perturbation is studied. By Melnikov analysis in infinite dimensions, existence of transversal heteroclinic orbits is proved, and consequently, chaos happens. |
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| Keywords: | melnikov function heteroclinic orbit sine-gordon equation chaos |
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