MULTIBREATHER AND VORTEX BREATHER STABILITY IN KLEIN–GORDON LATTICES: EQUIVALENCE BETWEEN TWO DIFFERENT APPROACHES
From MaRDI portal
Publication:3165827
DOI10.1142/S0218127411029690zbMath1248.37071arXiv1006.0346OpenAlexW2160615979MaRDI QIDQ3165827
Vassilis Koukouloyannis, Jesús Cuevas, Panayotis G. Kevrekidis, Juan F. R. Archilla
Publication date: 19 October 2012
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.0346
Stability theory for smooth dynamical systems (37C75) Lattice dynamics; integrable lattice equations (37K60)
Related Items (14)
Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach ⋮ On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice ⋮ Low dimensional completely resonant tori in Hamiltonian lattices and a theorem of Poincaré ⋮ Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤd, d ≥ 1 ⋮ Stability of Discrete Breathers in Magnetic Metamaterials ⋮ Multibreather stability in discrete Klein-Gordon equations: beyond nearest neighbor interactions ⋮ Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors ⋮ On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori ⋮ Non-existence of phase-shift breathers in one-dimensional Klein-Gordon lattices with nearest-neighbor interactions ⋮ On the nonexistence of degenerate phase-shift multibreathers in Klein-Gordon models with interactions beyond nearest neighbors ⋮ The Transfer Integral Operator Method in the Study of DNA Unzipping and Bubble Formation ⋮ Nonlinear Instabilities of Multi-Site Breathers in Klein-Gordon Lattices ⋮ Stationary multi-kinks in the discrete sine-Gordon equation ⋮ Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems
Cites Work
- Unnamed Item
- Discrete soliton collisions in a waveguide array with saturable nonlinearity
- The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
- Breathers in nonlinear lattices: existence, linear stability and quantization
- Demonstration of the stability or instability of multibreathers at low coupling
- Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices
- Stability of discrete solitons in nonlinear Schrödinger lattices
- Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
- Stability of non-time-reversible phonobreathers
- On the stability of multibreathers in Klein–Gordon chains
- Existence and stability of multisite breathers in honeycomb and hexagonal lattices
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Stability of multiple-pulse solutions
- Effective Hamiltonian for travelling discrete breathers
- Existence and stability of 3-site breathers in a triangular lattice
- Nonlinear dynamics and statistical physics of DNA
- A STABILITY CRITERION FOR MULTIBREATHERS IN KLEIN–GORDON CHAINS
- Dynamics of relative phases: generalised multibreathers
This page was built for publication: MULTIBREATHER AND VORTEX BREATHER STABILITY IN KLEIN–GORDON LATTICES: EQUIVALENCE BETWEEN TWO DIFFERENT APPROACHES
