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Slow time-periodic solutions of cubic-quintic Ginzburg-Landau equation (Ⅱ)——heteroclinic orbits

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【作者】 郭柏灵； 井竹君； 鲁百年；

【Author】 GUO Boling(Institute of Applied Physics and Computational Mathematics, Beijing 100088, China)JING Zhujun(Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China)and LU Bainian(Institute of Computational and Applied Mathematics, Xiangtan University, Xiangtan 411105, China; Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; Graduate School of China Academy of Engineering Physics, Beijing 100088, China)

【机构】 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China,Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China,Institute of Computational and Applied Mathematics, Xiangtan University, Xiangtan 411105, China； Institute of Applied Physics and Computational Mathematics, Beijing 100088, China； Graduate School of China Academy of Engineering Physics, Beijing 100088, China；

【摘要】 <正> The Ginzburg-Landau equation with small complex coefficients is considered. A translation is introduced to transform the Ginzburg-Landau equation into a dynamical system. It is proved that the spatial quasiperiodic solutions disappear due to the perturbation. Finally, several types of the heteroclinic orbits are proposed by mathematical and numerical analysis.

【Abstract】 The Ginzburg-Landau equation with small complex coefficients is considered. A translation is introduced to transform the Ginzburg-Landau equation into a dynamical system. It is proved that the spatial quasiperiodic solutions disappear due to the perturbation. Finally, several types of the heteroclinic orbits are proposed by mathematical and numerical analysis.

【关键词】 Ginzburg-Landau equation； heteroclinic orbits； slow time periodic solution； numerical analysis.；
【Key words】 Ginzburg-Landau equation； heteroclinic orbits； slow time periodic solution； numerical analysis.；
【基金】 Project supported by the National Natural Science Foundation of China (Grant No. 19501025).
  • 【文献出处】 Progress in Natural Science ,自然科学进展(英文版) , 编辑部邮箱 ,1998年05期
  • 【分类号】O411.1
  • 【下载频次】47
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