Invariant curves for exact symplectic twist maps of the cylinder with Bryuno rotation numbers

DOI10.1088/0951-7715/28/7/2555zbMath1333.37087arXiv1310.6881OpenAlexW3102766305MaRDI QIDQ2944175

Guido Gentile

Publication date: 28 August 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6881

zbMATH Keywords

renormalization groupinvariant curvestreesBryuno conditiontwist mapsexact symplectic maps

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Universality and renormalization of dynamical systems (37E20) Nearly integrable Hamiltonian systems, KAM theory (70H08) Dynamical aspects of twist maps (37E40)

Related Items (4)

On invariant tori with prescribed frequency in Hamiltonian systems ⋮ Some remarks on the optimality of the Bruno-R{\"u}ssmann condition ⋮ Regularity properties of \(k\)-Brjuno and Wilton functions ⋮ Stable dynamics in forced systems with sufficiently high/low forcing frequency

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