Arnold tongues in area-preserving maps

DOI10.1007/s00205-023-01875-8OpenAlexW4362588572MaRDI QIDQ2697533

Jing Zhou, Mark Levi

Publication date: 12 April 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10040

zbMATH Keywords

periodic orbitarea-preserving cylinder mapdiscretized sine-Gordon equationhigher-frequency harmonic perturbationtrigonometric polynomial map potential

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Partial differential equations of mathematical physics and other areas of application (35Q99) Periodic solutions of difference equations (39A23)

Cites Work

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• Action minimizing invariant measures for positive definite Lagrangian systems
• Generalizations of the Poincaré-Birkhoff theorem
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Traveling waves in chains of pendula
• Possible new effects in superconductive tunnelling
• Remarks on the perturbation theory for problems of Mathieu type
• Instability intervals of Hill's equation

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