Title

Generation of Localized Modes in an Electrical Lattice Using Subharmonic Driving

Authors

Lars Q. English, Dickinson College
F. Palmero
P. Candiani, Dickinson College
J. Cuevas
R. Carretero-González
P. G. Kevrekidis
A. J. Sievers

Roles

Student author: Paulo Candiani

Document Type

Article

Publication Date

2-22-2012

Department

Physics

Language

English

Publication Title

Physical Review Letters

Abstract

We show experimentally and numerically that an intrinsic localized mode (ILM) can be stably produced (and experimentally observed) via subharmonic, spatially homogeneous driving in the context of a nonlinear electrical lattice. The precise nonlinear spatial response of the system has been seen to depend on the relative location in frequency between the driver frequency, ω_d, and the bottom of the linear dispersion curve, ω₀. If ω_d/2 lies just below ω₀, then a single ILM can be generated in a 32-node lattice, whereas, when ω_d/2 lies within the dispersion band, a spatially extended waveform resembling a train of ILMs results. To our knowledge, and despite its apparently broad relevance, such an experimental observation of subharmonically driven ILMs has not been previously reported.

Comments

This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit American Physical Society's Website.

© 2012 American Physical Society

DOI

10.1103/PhysRevLett.108.084101

Recommended Citation

English, L.Q., F. Palmero, P. Candiani, J. Cuevas, R. Carretero-González, P.G. Kevrekidis, and A.J. Sievers. "Generation of Localized Modes in an Electrical Lattice Using Subharmonic Driving." Physical Review Letters 108, no. 8 (2012): 084101. doi:10.1103/PhysRevLett.108.084101