Breathers as metastable states for the discrete NLS equation

DOI10.3934/dcds.2018136zbMath1524.34034arXiv1710.10999OpenAlexW2964306520MaRDI QIDQ6105869

Jean-Pierre Eckmann, C. Eugene Wayne

Publication date: 9 June 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10999

zbMATH Keywords

normal formsmetastabilitymodulation theorybreathers

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ordinary lattice differential equations (34A33)

Related Items (3)

Damped and driven breathers and metastability ⋮ Decay of Hamiltonian breathers under dissipation ⋮ Localization in the discrete non-linear Schrödinger equation and geometric properties of the microcanonical surface

Cites Work

• Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices
• Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
• Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity
• Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls–Nabarro barrier
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Energy dissipation in Hamiltonian chains of rotators
• A Renormalization Method for Modulational Stability of Quasi-Steady Patterns in Dispersive Systems

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