The dynamics of coupled perturbed discretized NLS equations

DOI10.1016/S0167-2789(97)00285-6zbMath0935.35155WikidataQ127678933 ScholiaQ127678933MaRDI QIDQ1963419

Vassilios M. Rothos, Tassos C. Bountis

Publication date: 1 February 2000

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

zbMATH Keywords

homoclinic orbitsnon-integrable perturbationsMel'nikov theoryLax 's operatorsperturbed discretized NLS equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

Global dynamics of a pipe conveying pulsating fluid in primary parametrical resonance: analytical and numerical results from the nonlinear wave equation ⋮ Analysis on global and chaotic dynamics of nonlinear wave equations for truss core sandwich plate ⋮ The existence of standing wave for the discrete coupled nonlinear Schrödinger lattice ⋮ Asymptotic behavior of the coupled nonlinear Schrödinger lattice system

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Mel'nikov theory of coupled perturbed discretized NLS equations
• Geometric singular perturbation theory for ordinary differential equations
• Global bifurcations and chaos. Analytical methods
• Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits
• A Nonlinear Difference Scheme and Inverse Scattering
• Mel'nikov analysis of phase space transport in a N-degree-of-freedom Hamiltonian system

This page was built for publication: The dynamics of coupled perturbed discretized NLS equations