A $$C^{1+\alpha }$$ mechanical counterexample to Moser’s twist theorem-Reference-Cited by-同舟云学术

A $$C^{1+\alpha }$$ mechanical counterexample to Moser’s twist theorem

Published:2021-10-04 Issue:6 Volume:72 Page:
ISSN:0044-2275
Container-title:Zeitschrift für angewandte Mathematik und Physik
language:en
Short-container-title:Z. Angew. Math. Phys.

Author:

Ma Zhichao,Xu Junxiang^ORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00033-021-01618-3.pdf

Reference16 articles.

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2. Everson, R.M.: Chaotic dynamics of a bouncing ball. Phys. D 19, 355–383 (1986)

3. Herman, M.R.: Sur les courbes invariantes par les difféomorphismes de l’anneau. Vol. 2. (With a correction to: Sur les courbes invariantes par les difféomorphismes de l’anneau. Vol. 1. Astérisque (1983), 103–104.) Astérisque, 144, 248 (1986)

4. Kunze, M., Ortega, R.: Complete orbits for twist maps on the plane: extensions and applications. J. Dyn. Differ. Equ. 23(3), 405–423 (2011)

5. Ma, Z., Xu, J.: A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property. Accepted by Proc. Am. Math. Soc

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