Invariant tori for two-dimensional non-integrable Hamiltonians

DOI10.1016/0003-4916(88)90005-XzbMath0647.58021OpenAlexW2085471496MaRDI QIDQ1104611

Michel Baranger, Marcus A. M. de Aguiar

Publication date: 1988

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(88)90005-x

zbMATH Keywords

energyrotation numberhighly winding periodic orbitsnon-integrable Hamiltonian form

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) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (2)

Calculations of periodic trajectories for the Hénon–Heiles Hamiltonian using the monodromy method ⋮ Calculations of periodic orbits: The monodromy method and application to regularized systems

Cites Work

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• Periodic trajectories for a two-dimensional nonintegrable Hamiltonian
• Bifurcations of periodic trajectories in non-integrable Hamiltonian systems with two degrees of freedom: Numerical and analytical results
• The calculation of periodic trajectories
• Isochronous and period doubling bifurcations of periodic solutions of non-integrable Hamiltonian systems with reflexion symmetries
• Generic Bifurcation of Periodic Points
• Generic Stability Properties of Periodic Points

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