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Variational approach to Arnold diffusion

Variational approach to Arnold diffusion
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摘要 Arnold diffusion was conjectured by Arnol’d(1964) as a typical phenomena of topological instability in classical mechanics. In this paper, we give a panorama of the researches on Arnold diffusion using the variational approaches. Arnold diffusion was conjectured by Arnol’d(1964) as a typical phenomena of topological instability in classical mechanics. In this paper, we give a panorama of the researches on Arnold diffusion using the variational approaches.
出处 《Science China Mathematics》 SCIE CSCD 2019年第11期2103-2130,共28页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos. 11790272 and No.11631006) supported by National Natural Science Foundation of China (Grant No. 11790273) Beijing Natural Science Foundation (Grant No. Z180003)
关键词 ARNOLD diffusion AUBRY set NORMAL HYPERBOLICITY NORMAL form VARIATIONAL methods GENERICITY Arnold diffusion Aubry set normal hyperbolicity normal form variational methods genericity
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