Nonlinear Schrödinger lattices II: Persistence and Stability of Discrete Vortices
| dc.creator | Pelinovsky, D. E. | |
| dc.creator | Kevrekidis, P. G. | |
| dc.creator | Frantzeskakis, D. J. | |
| dc.date | 2004-11-06 | |
| dc.date.accessioned | 2026-07-07T05:36:04Z | |
| dc.date.available | 2026-07-07T05:36:04Z | |
| dc.description | We study discrete vortices in the anti-continuum limit of the discrete two-dimensional nonlinear Schr{ö}dinger (NLS) equations. The discrete vortices in the anti-continuum limit represent a finite set of excited nodes on a closed discrete contour with a non-zero topological charge. Using the Lyapunov-Schmidt reductions, we find sufficient conditions for continuation and termination of the discrete vortices for a small coupling constant in the discrete NLS lattice. An example of a closed discrete contour is considered that includes the vortex cell (also known as the off-site vortex). We classify the symmetric and asymmetric discrete vortices that bifurcate from the anti-continuum limit. We predict analytically and confirm numerically the number of unstable eigenvalues associated with various families of such discrete vortices. | |
| dc.description | 34 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0411016 | |
| dc.identifier | http://arxiv.org/abs/nlin/0411016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80867 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Nonlinear Schrödinger lattices II: Persistence and Stability of Discrete Vortices | |
| dc.type | text |