| 广义Sine-Gordon方程的混沌与湍流 |
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| 引用本文： | 盛平兴.广义Sine-Gordon方程的混沌与湍流[J].应用数学学报,2005,28(3):453-457. |
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| 作者姓名： | 盛平兴 |
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| 作者单位： | 上海大学理学院数学系,上海,200444 |
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| 摘 要： | 本文在行波解意义下,利用作者的向量场同胚映射证明了广义Sine—Gordon方程具有极限异宿轨,从而证得孤波的存在性.有界状态和极限集的存在性解释了量子场理论中混沌现象与湍流现象的内涵,并讨论了分歧现象与临界速度.
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| 关 键 词： | 广义Sine-Gordon方程 孤波 混沌与湍流 双临界速度 |
| 收稿时间： | 2002-11-24 |
| 修稿时间： | 2002-11-24 |
CHAOS AND TURBULENCE OF GENERALIZED SINE-GORDON EQUATION |
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| SHENG PINGXING.CHAOS AND TURBULENCE OF GENERALIZED SINE-GORDON EQUATION[J].Acta Mathematicae Applicatae Sinica,2005,28(3):453-457. |
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| Authors: | SHENG PINGXING |
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| Abstract: | This paper shows the existence of solitary waves of generalized sine-Gordon equation by proving the existence of limit heteroclinic orbit via the author's vector field homeomorphism in the sense of traveling waves. The existence of bounded states and limit sets are concerned in order to explain chaos and turbulence phenomena in quantum field theory. Bifurcation and two critical speeds are discussed. |
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| Keywords: | generalized sine-Gordon equation solitary waves chaos and turbulence two critical speeds |
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