Mather sets for plane Hamiltonian systems

DOI10.1007/BF00945819zbMath0641.70014OpenAlexW2081859752MaRDI QIDQ1100947

Jochen Denzler

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945819

zbMATH Keywords

periodic perturbationmonotonicity conditionPoincaré maparea preserving monotone twist maps of an annulusnecessary differentiabilityplane Hamiltonian system

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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Cites Work

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• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
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• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Recent Developments in the Theory of Hamiltonian Systems
• Monotone twist mappings and the calculus of variations
• Elliptic Partial Differential Equations of Second Order
• On the weighted approximation of continuous functions by polynomials on the entire number axis