Rational quadratic-flux minimizing circles for area-preserving twist maps

DOI10.1016/0167-2789(95)00118-NzbMath0894.58021OpenAlexW2141453431MaRDI QIDQ1893274

A. B. Khorev, Robert L. Dewar

Publication date: 3 July 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00118-n

zbMATH Keywords

area-preserving twist mapangle parametrization

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (2)

Are ghost surfaces quadratic-flux-minimizing? ⋮ Action-gradient-minimizing pseudo-orbits and almost-invariant tori

Uses Software

• Mathematica

Cites Work

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• Ghost circles for twist maps
• Flux-minimizing curves for reversible area-preserving maps
• Symplectic maps, variational principles, and transport
• A variational principle for invariant tori of fixed frequency
• Smooth approximation of mather sets of monotone twist mappings
• Renormalized Lie perturbation theory

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