The reversible context 2 in KAM theory: the first steps

DOI10.1134/S1560354710520035zbMath1277.37091MaRDI QIDQ2430533

Mikhail B. Sevryuk

Publication date: 7 April 2011

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

zbMATH Keywords

reversible systemsKAM theoryinvariant torusfixed point manifoldMoser's modifying terms theoremreversible contexts

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

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, Geometry of hyperbolic Cauchy-Riemann singularities and KAM-like theory for holomorphic involutions, Quasi-periodic bifurcations in reversible systems, Persistence of lower dimensional invariant tori in a class of reversible systems, Quasi-periodic perturbations within the reversible context 2 in KAM theory, Coexistence of Hamiltonian-Like and Dissipative Dynamics in Rings of Coupled Phase Oscillators with Skew-Symmetric Coupling, Invariant tori of a nonlinear Schrödinger equation with quasi-periodically unbounded perturbations, Finite dimensional invariant KAM tori for tame vector fields

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