KAM theorems and open problems for infinite-dimensional Hamiltonian with short range
From MaRDI portal
Publication:477119
DOI10.1007/s11425-014-4779-1zbMath1302.37046arXiv1212.4559OpenAlexW2163375674MaRDI QIDQ477119
Publication date: 2 December 2014
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.4559
Related Items (3)
On the Kolmogorov theorem for some infinite-dimensional Hamiltonian systems of short range ⋮ The almost-periodic solutions of the weakly coupled pendulum equations ⋮ Semi-algebraic sets method in PDE and mathematical physics
Cites Work
- Unnamed Item
- Chaotic trajectories in the standard map. The concept of anti- integrability
- Small divisors with spatial structure in infinite dimensional Hamiltonian systems
- Breathers in nonlinear lattices: existence, linear stability and quantization
- Localization in disordered, nonlinear dynamical systems
- Nearly integrable infinite-dimensional Hamiltonian systems
- The concept of anti-integrability applied to dynamical systems and to structural and electronic models in condensed matter physics
- Construction of quasi-periodic breathers via KAM technique
- Quasiperiodic breathers in Hamiltonian lattices with symmetries
- Dynamics of breathers in discrete nonlinear Schrödinger models
- Recent progress and outstanding problems in Hamiltonian dynamics
- Anti-integrability in dynamical and variational problems
- Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Dimension dependent energy thresholds for discrete breathers
- On the construction of almost periodic solutions for a nonlinear Schrödinger equation
- Recent progress on quasi-periodic lattice Schrödinger operators and Hamiltonian PDEs
- A KAM theorem for Hamiltonian networks with long ranged couplings
This page was built for publication: KAM theorems and open problems for infinite-dimensional Hamiltonian with short range
