Viscous stability of quasi-periodic tori

DOI10.1017/etds.2012.120zbMath1418.37043OpenAlexW2015538232MaRDI QIDQ5408735

Zhenguo Liang, Jun Yan, Yingfei Yi

Publication date: 11 April 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2012.120

zbMATH Keywords

viscosity solutionsquasi-periodic invariant torusTonelli LagrangianPeierls barriers

Mathematics Subject Classification ID

Related Items (3)

Weak K. A. M. solutions and minimizing orbits of twist maps ⋮ A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systems ⋮ Perturbation estimates of weak KAM solutions and minimal invariant sets for nearly integrable Hamiltonian systems

Cites Work

• Unnamed Item
• Arnold diffusion. I: Announcement of results
• Arnold diffusion in Hamiltonian systems: a priori unstable case
• Action minimizing invariant measures for positive definite Lagrangian systems
• Regularity of viscosity solutions near KAM torus
• Strong stability of KAM tori: From the point of view of viscosity solutions of H-J equations
• Lagrangian graphs, minimizing measures and Mañé's critical values
• Variational construction of connecting orbits
• Superexponential stability of KAM tori.
• Symplectic invariants of elliptic fixed points
• KAM theory in configuration space
• Regularity theory for Hamilton--Jacobi equations
• Persistence of invariant tori on submanifolds in Hamiltonian systems
• Aubry-Mather theory and the inverse spectral problem for planar convex domains
• Existence of diffusion orbits in a priori unstable Hamiltonian systems
• An example of Arnold diffusion for near-integrable Hamiltonians
• Geometry of Arnold Diffusion
• The dynamics of pseudographs in convex Hamiltonian systems
• Total disconnectedness of the quotient Aubry set in low dimensions
• Perturbation Theory for Viscosity Solutions of Hamilton--Jacobi Equations and Stability of Aubry--Mather Sets
• Evolution of slow variables ina prioriunstable Hamiltonian systems
• A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results
• The action spectrum near positive definite invariant tori
• An approach to arnold's diffusion through the calculus of variations
• Minimizing Measures for Time-Dependent Lagrangians
• Effective Hamiltonians and averaging for Hamiltonian dynamics. I

This page was built for publication: Viscous stability of quasi-periodic tori