Instabilities of breathers in a finite NLS lattice

DOI10.1016/j.physd.2012.01.008zbMath1247.35150OpenAlexW2007774556MaRDI QIDQ446115

Panayotis Panayotaros

Publication date: 28 August 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2012.01.008

zbMATH Keywords

periodic orbitsreductionhomoclinic orbitsnonlinear Schrödinger equationsbreathersnonlinear lattices

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential ⋮ Ground states in spatially discrete non-linear Schrödinger models ⋮ Breather solutions for inhomogeneous FPU models using Birkhoff normal forms ⋮ Classical breathers and quantum coherent states in discrete NLS systems

Cites Work

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• Continuation of normal modes in finite NLS lattices
• Linear stability of breathers of the discrete NLS
• The scattering map in the planar restricted three body problem
• The discrete self-trapping equation
• Mobility and reactivity of discrete breathers
• Continuation and bifurcations of breathers in a finite discrete NLS equation
• Topology and mechanics. I
• Stability of discrete solitons in nonlinear Schrödinger lattices
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• CHAOTIC DYNAMICS OF N-DEGREE OF FREEDOM HAMILTONIAN SYSTEMS
• Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem