Aubry–Mather sets for relativistic oscillators with anharmonic potentials-Reference-Cited by-同舟云学术

Aubry–Mather sets for relativistic oscillators with anharmonic potentials

Published:2016-07-20 Issue:3 Volume:33 Page:439-448
ISSN:1439-8516
Container-title:Acta Mathematica Sinica, English Series
language:en
Short-container-title:Acta. Math. Sin.-English Ser.

Author:

Shi Guang Hua

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10114-016-4735-9.pdf

Reference19 articles.

1. Arnold, V. I.: Mathematical Methods of Classical Mechanics, Vol. 60, Springer, New York, Berlin, 1989

2. Aubry, S., LeDaeron, P. Y.: The discrete Frenkel–Kantorova model and its extensions I. Exact results for the ground states. Physica D, 8, 381–422 (1983)

3. Bangert, V.: Mather sets for twist maps and geodesics on tori. Dynamic Report Ser. Dynam. Syst. Appl., 1, 1–54 (1987)

4. Dieckerhoff, R., Zehnder, E.: Boundedness of solution via twist theorem. Ann. Scuola Norm. Sup. Pisa Cl. Sci., 14, 79–95 (1987)

5. Ding, T.: Boundedness of solutions of Duffing’s equations. J. Differential Equations, 61, 178–207 (1986)

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