Discrete nonlinear Schrödinger equation dynamics in complex networks

F. Perakis, G. P. Tsironis

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We investigate dynamical aspects of the discrete nonlinear Schrödinger equation in finite lattices. Starting from a periodic chain with nearest neighbor interactions, we insert randomly links connecting distant pairs of sites across the lattice. Using localized initial conditions we focus on the time averaged probability of occupation of the initial site as a function of the degree of complexity of the lattice and nonlinearity. We observe that selftrapping occurs at increasingly larger values of the nonlinearity parameter as the lattice connectivity increases, while close to the fully coupled network limit, localization becomes more preferred. For nonlinearity values above a certain threshold we find a reentrant localization transition, viz. localization when the number of long distant bonds is small followed by delocalization and enhanced transport at intermediate bond numbers while close to the fully connected limit localization reappears.

Original languageEnglish
Pages (from-to)676-679
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3
Publication statusPublished - Jan 17 2011

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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