On simultaneous linearization of certain commuting nearly integrable diffeomorphisms of the cylinder

DOI10.1007/s00209-021-02961-xOpenAlexW3173652766MaRDI QIDQ2137872

Danijela Damjanović, Qinbo Chen, Boris Petković

Publication date: 11 May 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.16077

zbMATH Keywords

local rigiditytwist mapsnearly integrable systemsabelian group actions

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of twist maps (37E40) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Simultaneous conjugation of commuting foliation preserving torus maps ⋮ On the fragility of periodic tori for families of symplectic twist maps

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