Phys. Rev. E 75, 046602 (2007) [5 pages]Localized modes and bistable scattering in nonlinear network junctionsReceived 19 October 2006; published 2 April 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.75.046602
DOI:
10.1103/PhysRevE.75.046602
PACS:
42.25.Bs, 42.65.Pc, 42.65.Hw, 41.85.Ja
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.