Quasi-periodic perturbations within the reversible context 2 in KAM theory

DOI10.1016/j.indag.2011.12.004zbMath1263.70023arXiv1110.2296OpenAlexW2071995239MaRDI QIDQ441335

Mikhail B. Sevryuk

Publication date: 23 August 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2296

zbMATH Keywords

reducibilityreversible systemsquasi-periodic perturbations

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (5)

Whitney smooth families of invariant tori within the reversible context 2 of KAM theory ⋮ 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 ⋮ Quantitative quasiperiodicity ⋮ Collective dynamics and bifurcations in symmetric networks of phase oscillators. II

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