Invariant curves of analytic reversible mappings under Brjuno-Rüssmann's non-resonant condition
From MaRDI portal
Publication:487948
DOI10.1007/s10884-014-9366-1zbMath1320.47009OpenAlexW2055963392MaRDI QIDQ487948
Publication date: 23 January 2015
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-014-9366-1
Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)
Related Items (10)
On the reducibility of analytic quasi-periodic systems with Liouvillean basic frequencies ⋮ On invariant tori with prescribed frequency in Hamiltonian systems ⋮ Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies ⋮ Existence of invariant curves for degenerate quasi-periodic reversible mappings ⋮ Existence of invariant curves for degenerate almost periodic reversible mappings ⋮ On the linearization of vector fields on a torus with prescribed frequency ⋮ Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems ⋮ Existence of invariant curves with prescribed frequency for degenerate area preserving mappings ⋮ On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues ⋮ Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- KAM iteration with nearly infinitely small steps in dynamical systems of polynomial character
- Boundedness of solutions for a class of oscillating potentials without the twist condition
- A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies
- Boundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear term
- Smooth linearization of commuting circle diffeomorphisms
- Quasiperiodic dynamics in Bose-Einstein condensates in periodic lattices and superlattices
- Boundedness of solutions in a class of Duffing equations with oscillating potentials
- Rigidity results for quasiperiodic \(\mathrm{SL}(2, \mathbb R)\)-cocycles
- Reversible systems
- Invariant curves of analytic perturbed nontwist area preserving maps
- Invariant tori for nearly integrable Hamiltonian systems with degeneracy
- Quasiperiodic dynamics in Hamiltonian \(1\frac{1}{2}\) degree of freedom systems far from integrability
- Invariant curves of reversible mappings with small twist
- Area preserving nontwist maps: Periodic orbits and transition to chaos
- Renormalization and transition to chaos in area preserving nontwist maps
- KAM à la R
- A lecture on the classical KAM theorem
- Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation
- Stable and Random Motions in Dynamical Systems
- Herman’s last geometric theorem
- On a new proof of Moser's twist mapping theorem
- Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem
- KAM Theory and a Partial Justification of Greene's Criterion for Nontwist Maps
- Invariant curves of quasi-periodic reversible mappings
- Combination tones for Duffing's equation
This page was built for publication: Invariant curves of analytic reversible mappings under Brjuno-Rüssmann's non-resonant condition
