Quasi-periodic motions on symplectic tori

DOI10.5427/jsing.2023.26carXiv1805.09201OpenAlexW2803541738MaRDI QIDQ6136040

Mauricio D. Garay, Duco van Straten, Arezki Kessi, Unnamed Author

Publication date: 28 August 2023

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09201

zbMATH Keywords

quasi-periodic motionsHamiltonian systemsLagrangian tori

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (1)

Unnamed Item

Cites Work

• A proof of the invariant torus theorem of Kolmogorov
• Flows on homogeneous spaces and Diophantine approximation on manifolds
• Invariant tori in non-degenerate nearly integrable Hamiltonian systems
• Convergent series expansions for quasi-periodic motions
• Quasi-periodic motions in families of dynamical systems. Order amidst chaos
• Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• Hamiltonian and reversible systems with smooth families of invariant tori
• A lecture on the classical KAM theorem
• An abstract KAM theorem
• Arithmetic Density
• Simple proofs of local conjugacy theorems for diffeomorphisms of the circle with almost every rotation number
• Unfoldings and bifurcations of quasi-periodic tori
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quasi-periodic motions on symplectic tori