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Variational approach to Arnold diffusion

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Abstract

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.

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Acknowledgements

The first author was supported by National Natural Science Foundation of China (Grant Nos. 11790272 and No.11631006). The second author was supported by National Natural Science Foundation of China (Grant No. 11790273) and Beijing Natural Science Foundation (Grant No. Z180003).

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Authors and Affiliations

  1. Department of Mathematics, Nanjing Univerisity, Nanjing, 100098, China

    Chong-Qing Cheng

  2. Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

    Jinxin Xue

Authors
  1. Chong-Qing Cheng
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  2. Jinxin Xue
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Correspondence to Chong-Qing Cheng.

Additional information

Dedicated to Professor Lo Yang on the Occasion of His 80th Birthday

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Cheng, CQ., Xue, J. Variational approach to Arnold diffusion. Sci. China Math. 62, 2103–2130 (2019). https://doi.org/10.1007/s11425-019-1553-3

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  • DOI: https://doi.org/10.1007/s11425-019-1553-3

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