Exact dynamics for fully connected nonlinear networks

G. P. Tsironis

doi:10.1016/j.physleta.2011.01.049

Exact dynamics for fully connected nonlinear networks

G. P. Tsironis

Department of Physics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1304-1308
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	375
Issue number	10
DOIs	https://doi.org/10.1016/j.physleta.2011.01.049
Publication status	Published - Mar 7 2011

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.physleta.2011.01.049

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AB - 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.

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