Arnold Tongues in Area-Preserving Maps
Author:
Funder
National Science Fundation
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00205-023-01875-8.pdf
Reference15 articles.
1. Arnold, V.I.: Remarks on the perturbation theory for problems of Mathieu type. Russ. Math. Surv. 38(4), 215–233, 1983
2. Arnold, V.I.: Geometrical Methods in the Theory of Ordinary Differential Equations, vol. 250, second edn. Springer, New York (1988)
3. Arnold, V.I.: Mathematical Methods of Classical Mechanics, second edition. Springer, New York (1989)
4. Aubry, S.: The twist map, the extended Frenkel-Kontorova model and the devil’s staircase. Phys. D, 7(1–3):240–258, 1983. Order in chaos (Los Alamos, N.M.,) (1982)
5. Birkhoff, G.D.: Proof of Poincaré’s geometric theorem. Trans. Am. Math. Soc. 14(1), 14–22, 1913
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