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Dynamical stability of Hamiltonian systems

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【作者】 程崇庆； 程健；

【Author】 CHENG Chongqing and CHENG Jian(Department of Mathematics, Nanjing University, Nanjing 210093, China)

【机构】 Department of Mathematics； Nanjing University； Nanjing 210093； China； China；

【摘要】 <正> Dynamical stability has become the center of study on Hamiltonian system. In this article we introduce the recent development in some areas closely related to this topic, such as the KAM theory, Mather theory, Arnold diffusion and non-singular collision of n-body problem.

【Abstract】 Dynamical stability has become the center of study on Hamiltonian system. In this article we introduce the recent development in some areas closely related to this topic, such as the KAM theory, Mather theory, Arnold diffusion and non-singular collision of n-body problem.

【关键词】 dynamical stability； KAM theory； connecting orbits；
【Key words】 dynamical stability； KAM theory； connecting orbits；
  • 【文献出处】 Progress in Natural Science ,自然科学进展(英文版) , 编辑部邮箱 ,2000年05期
  • 【分类号】O19
  • 【下载频次】79
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