On lower dimensional invariant tori in \(C^d\) reversible systems
From MaRDI portal
Publication:950679
DOI10.1007/s11401-008-0082-1zbMath1154.37359OpenAlexW2126857494MaRDI QIDQ950679
Publication date: 27 October 2008
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-008-0082-1
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55)
Related Items (5)
Quasi-periodic solutions for the derivative nonlinear Schrödinger equation with finitely differentiable nonlinearities ⋮ Response solutions for finite smooth harmonic oscillators with quasi-periodic forcing ⋮ KAM theorem for reversible mapping of low smoothness with application ⋮ The reversible context 2 in KAM theory: the first steps ⋮ Melnikov-type theorem for time reversible system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m
- The finite-dimensional reversible KAM theory
- Reversible systems
- On elliptic lower dimensional tori in Hamiltonian systems
- Perturbations of lower dimensional tori for Hamiltonian systems
- Nearly integrable infinite-dimensional Hamiltonian systems
- On Melnikov's persistency problem
- Invariant tori for nearly integrable Hamiltonian systems with degeneracy
- KAM theory in configuration space
- Moser's theorem for lower dimensional tori
- Convergent series expansions for quasi-periodic motions
- Generalized implicit function theorems with applications to some small divisor problems, I
- Newton's method and periodic solutions of nonlinear wave equations
- The iteration-approximation decoupling in the reversible KAM theory
- On lower dimensional invariant tori in reversible systems
This page was built for publication: On lower dimensional invariant tori in \(C^d\) reversible systems
