Localized modes and bistable scattering in nonlinear network junctions

Andrey E. Miroshnichenko*, Mario I. Molina, Yuri S. Kivshar

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    34 Citations (Scopus)

    Abstract

    We study the properties of junctions created by the crossing of N identical branches of linear discrete networks. We reveal that for N>2 such a junction creates a topological defect and supports two types of spatially localized modes. We analyze the wave scattering by the junction defect and demonstrate nonzero reflection for any set of parameters. If the junction is nonlinear, it is possible to achieve the maximum transmission for any frequency by tuning the intensity of the scattering wave. In addition, near the maximum transmission the system shows the bistable behavior.

    Original languageEnglish
    Article number046602
    JournalPhysical Review E
    Volume75
    Issue number4
    DOIs
    Publication statusPublished - 2 Apr 2007

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