KAM theory for lower dimensional tori within the reversible context 2

zbMath1334.70038arXiv1108.5975MaRDI QIDQ4902665

Mikhail B. Sevryuk

Publication date: 17 January 2013

Full work available at URL: https://arxiv.org/abs/1108.5975

zbMATH Keywords

reversible systemsKAM theoryreversible context 2fixed point manifoldMoser's modifying terms theoremlower dimensional invariant torus

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) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (8)

Whitney smooth families of invariant tori within the reversible context 2 of KAM theory ⋮ A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character ⋮ Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2 ⋮ Hamiltonian and reversible systems with smooth families of invariant tori ⋮ Quasi-periodic solutions for the reversible derivative nonlinear Schrödinger equations with periodic boundary conditions ⋮ Geometry of hyperbolic Cauchy-Riemann singularities and KAM-like theory for holomorphic involutions ⋮ Persistence of lower dimensional invariant tori in a class of reversible systems ⋮ Quasi-periodic perturbations within the reversible context 2 in KAM theory

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