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Discrete breathers in a nonlinear electric line: modeling, computation, and experiment

Opened Access Discrete breathers in a nonlinear electric line: modeling, computation, and experiment
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Autor: Palmero Acebedo, Faustino
English, Lars Q.
Cuevas-Maraver, Jesús
Carretero-González, Ricardo
Kevrekidis, Panayotis G.
Departamento: Universidad de Sevilla. Departamento de Física Aplicada I
Fecha: 2011
Publicado en: Physical Review E, 84(2), 026605:1-8
Tipo de documento: Artículo
Resumen: We study experimentally and numerically the existence and stability properties of discrete breathers in a periodic nonlinear electric line. The electric line is composed of single cell nodes, containing a varactor diode and an inductor, coupled together in a periodic ring configuration through inductors and driven uniformly by a harmonic external voltage source. A simple model for each cell is proposed by using a nonlinear form for the varactor characteristics through the current and capacitance dependence on the voltage. For an electrical line composed of 32 elements, we find the regions, in driver voltage and frequency, where n-peaked breather solutions exist and characterize their stability. The results are compared to experimental measurements with good quantitative agreement. We also examine the spontaneous formation of n-peaked breathers through modulational instability of the homogeneous steady state. The competition between different discrete breathers seeded by the modulation...
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