Strong stability of KAM tori: From the point of view of viscosity solutions of H-J equations

DOI10.1007/S10884-009-9131-ZzbMath1196.35046OpenAlexW2075462397MaRDI QIDQ1028630

Jun Yan, Zhenguo Liang

Publication date: 6 July 2009

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-009-9131-z

zbMATH Keywords

Hamilton-Jacobi equationsDiophantine frequencies

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial value problems for nonlinear first-order PDEs (35F25) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (1)

Viscous stability of quasi-periodic tori

Cites Work

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• Action minimizing invariant measures for positive definite Lagrangian systems
• Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian
• Ergodization rates for linear flow on the torus
• On the distribution of free path lengths for the periodic Lorentz gas
• Variational construction of connecting orbits
• KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
• KAM theory in configuration space
• Perturbation Theory for Viscosity Solutions of Hamilton--Jacobi Equations and Stability of Aubry--Mather Sets
• Effective Hamiltonians and averaging for Hamiltonian dynamics. I

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