Global bifurcation of travelling waves in discrete nonlinear Schrödinger equations
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Publication:5243413
DOI10.1080/10236198.2016.1210133zbMath1431.34017arXiv1508.00832OpenAlexW2500595156MaRDI QIDQ5243413
Publication date: 18 November 2019
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.00832
Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Degree theory for nonlinear operators (47H11) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Ordinary lattice differential equations (34A33)
Cites Work
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- Bifurcation of periodic solutions from a ring configuration in the vortex and filament problems
- Continuation of normal modes in finite NLS lattices
- A short treatise on the equivariant degree theory and its applications
- Global bifurcation of polygonal relative equilibria for masses, vortices and dNLS oscillators
- The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation
- Bifurcations of travelling wave solutions in the discrete NLS equations
- Global bifurcation of planar and spatial periodic solutions from the polygonal relative equilibria for the \(n\)-body problem
- Bifurcation of periodic solutions from a ring configuration of discrete nonlinear oscillators
- Some global results for nonlinear eigenvalue problems
- Periodic oscillations of discrete NLS solitons in the presence of diffraction management
- Moving embedded lattice solitons
- Travelling waves of discrete nonlinear Schrödinger equations with nonlocal interactions
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Hamiltonian Hopf bifurcations in the discrete nonlinear Schrödinger trimer: oscillatory instabilities, quasi-periodic solutions and a new type of self-trapping transition
- Classification of homotopy classes of equivariant gradient maps
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