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Exact dynamics for fully connected nonlinear networks
- Publication Year :
- 2011
-
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.<br />Comment: 6 pages, 2 figures
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1101.4721
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.physleta.2011.01.049