Local rigidity of Diophantine translations in higher-dimensional tori

DOI10.1134/S1560354718010021zbMath1398.37054arXiv1612.05564OpenAlexW2580726207MaRDI QIDQ1795599

Nikolaos Karaliolios

Publication date: 16 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05564

zbMATH Keywords

KAM theoryquasi-periodic dynamicslocal rigidityDiophantine translations

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) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (7)

On stable and unstable behaviour of certain rotation segments ⋮ A priori bounds for GIETs, affine shadows and rigidity of foliations in genus two ⋮ Fibered rotation vector and hypoellipticity for quasi‐periodic cocycles in compact Lie groups ⋮ Local rigidity of certain solvable group actions on tori ⋮ The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan ⋮ Hamiltonian perturbation theory for ultra-differentiable functions ⋮ Classification of perturbations of Diophantine \(\mathbb{Z}^m\) actions on tori of arbitrary dimension

Cites Work

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• Rotation sets and ergodic measures for torus homeomorphisms
• Diffeomorphisms of the Torus with Wandering Domains
• Diffeomorphisms of thek-torus with wandering domains
• Strict Ergodicity and Transformation of the Torus
• Global density of reducible quasi-periodic cocycles on \(\mathbb T^1\times \text{SU}(2)\)

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