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 -