Exact dynamics for fully connected nonlinear networks
Exactly Solvable and Integrable Systems
2015-05-27 v1 Pattern Formation and Solitons
Abstract
We investigate the dynamics of the discrete nonlinear Schr\"{o}dinger equation in fully connected networks. For a localized initial condition the exact solution shows the existence of two dynamical transitions as a function of the nonlinearity parameter, a hyperbolic and a trigonometric one. In the latter the network behaves exactly as the corresponding linear one but with a renormalized frequency.
Cite
@article{arxiv.1101.4721,
title = {Exact dynamics for fully connected nonlinear networks},
author = {G. P. Tsironis},
journal= {arXiv preprint arXiv:1101.4721},
year = {2015}
}
Comments
6 pages, 2 figures