Hamiltonian Hopf bifurcations in the discrete nonlinear Schrödinger trimer: oscillatory instabilities, quasi-periodic solutions and a new type of self-trapping transition

DOI10.1088/0305-4470/37/6/017zbMath1053.81035arXivnlin/0307057OpenAlexW3104245906MaRDI QIDQ4466299

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0307057

zbMATH Keywords

discrete nonlinear Schrödinger equation

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Quantum chaos (81Q50) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)

Related Items (9)

Topological edge breathers in a nonlinear Su-Schrieffer-Heeger lattice ⋮ Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential ⋮ Global bifurcation of polygonal relative equilibria for masses, vortices and dNLS oscillators ⋮ The appearance of gap solitons in a nonlinear Schrödinger lattice ⋮ Classical breathers and quantum coherent states in discrete NLS systems ⋮ Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation ⋮ Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes ⋮ Global bifurcation of travelling waves in discrete nonlinear Schrödinger equations ⋮ Stability of discrete solitons in nonlinear Schrödinger lattices

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