TY - JOUR

T1 - Exact dynamics for fully connected nonlinear networks

AU - Tsironis, G. P.

N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2011/3/7

Y1 - 2011/3/7

N2 - 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.

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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U2 - 10.1016/j.physleta.2011.01.049

DO - 10.1016/j.physleta.2011.01.049

M3 - Article

AN - SCOPUS:79951809147

VL - 375

SP - 1304

EP - 1308

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 10

ER -