We investigate the dynamics of the discrete nonlinear Schrödinger 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.
|Number of pages||5|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - Mar 7 2011|
ASJC Scopus subject areas
- Physics and Astronomy(all)