# Localized modes and bistable scattering in nonlinear network junctions

## 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.

- Authors:

- Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200 (Australia)
- Departamento de Fisica, Facultad de Ciencias, Universidad de Chile, Santiago (Chile)

- Publication Date:

- OSTI Identifier:
- 21072424

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevE.75.046602; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; DEFECTS; LIGHT SCATTERING; LIGHT TRANSMISSION; NONLINEAR PROBLEMS; REFLECTION; TOPOLOGY

### Citation Formats

```
Miroshnichenko, Andrey E., Kivshar, Yuri S., and Molina, Mario I.
```*Localized modes and bistable scattering in nonlinear network junctions*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVE.75.046602.

```
Miroshnichenko, Andrey E., Kivshar, Yuri S., & Molina, Mario I.
```*Localized modes and bistable scattering in nonlinear network junctions*. United States. doi:10.1103/PHYSREVE.75.046602.

```
Miroshnichenko, Andrey E., Kivshar, Yuri S., and Molina, Mario I. Sun .
"Localized modes and bistable scattering in nonlinear network junctions". United States.
doi:10.1103/PHYSREVE.75.046602.
```

```
@article{osti_21072424,
```

title = {Localized modes and bistable scattering in nonlinear network junctions},

author = {Miroshnichenko, Andrey E. and Kivshar, Yuri S. and Molina, Mario I.},

abstractNote = {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.},

doi = {10.1103/PHYSREVE.75.046602},

journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},

number = 4,

volume = 75,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}

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