Stable symplectic maps

DOI10.1063/1.529426zbMath0726.70016OpenAlexW2024925095MaRDI QIDQ3348472

Paul J. Channell

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1063/1.529426

zbMATH Keywords

Arnold diffusionKAM torisymplectic vector spaceabsolutely stableinfinite class of nonlinear symplectic mapsinvariant closed balls

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

• Converse KAM theory for symplectic twist maps
• Generic Properties of Conservative Systems II

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