Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings

DOI10.1186/s13660-017-1307-1zbMath1405.37066OpenAlexW2587749583WikidataQ42321877 ScholiaQ42321877MaRDI QIDQ509974

Shunjun Jiang

Publication date: 16 February 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1307-1

zbMATH Keywords

normal formKAM iterationsymplectic mappingsGevrey-smoothness

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Unnamed Item
• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings
• Chaotic trajectories in the standard map. The concept of anti- integrability
• Gevrey-smoothness of elliptic lower-dimensional invariant tori in Hamiltonian systems under Rüssmann's non-degeneracy condition
• On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition
• Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann's non-degeneracy condition
• Existence of invariant tori in three-dimensional measure-preserving mappings
• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• More Denjoy minimal sets for area preserving diffeomorphisms
• On elliptic lower dimensional tori in Hamiltonian systems
• Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkoff normal forms
• A note on the KAM theorem for symplectic mappings
• Parameterization of invariant manifolds by reducibility for volume preserving and symplectic maps
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Greene's residue criterion for the breakup of invariant tori of volume-preserving maps
• Dynamics of 4D symplectic maps near a double resonance
• Slow motion of internal shock layers for the Jin-Xin system in one space dimension
• The hyperbolic invariant tori of symplectic mappings
• Non-existence of invariant circles
• Integrability of hamiltonian systems on cantor sets
• Existence of invariant tori in volume-preserving diffeomorphisms
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Resonances and Twist in Volume-Preserving Mappings

This page was built for publication: Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings