Ginzburg–Landau models of nonlinear electric transmission networks

E Kengne, WM Liu, LQ English, BA Malomed - Physics Reports, 2022 - Elsevier
Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

Dark discrete breather modes in a monoaxial chiral helimagnet with easy-plane anisotropy

IG Bostrem, EG Ekomasov, J Kishine, AS Ovchinnikov… - Physical Review B, 2021 - APS
Nonlinearity and discreteness are two pivotal factors for an emergence of discrete breather
excitations in various media. We argue that these requirements are met in the forced …

Thermally populated intrinsic localized modes in pure alkali halide crystals

AJ Sievers, M Sato, JB Page, T Rössler - Physical Review B—Condensed …, 2013 - APS
The possibility of thermal excitation of intrinsic localized modes (ILMs) arising from
anharmonicity in ionic perfect crystals is studied numerically for realistic model systems in …

Backward-wave propagation and discrete solitons in a left-handed electrical lattice

LQ English, SG Wheeler, Y Shen, GP Veldes… - Physics Letters A, 2011 - Elsevier
We study experimentally, analytically and numerically the backward-wave propagation, and
formation of discrete bright and dark solitons in a nonlinear electrical lattice. We observe …

Nonlinear localized modes in two-dimensional electrical lattices

LQ English, F Palmero, JF Stormes, J Cuevas… - Physical Review E …, 2013 - APS
We report the observation of spontaneous localization of energy in two spatial dimensions in
the context of nonlinear electrical lattices. Both stationary and moving self-localized modes …

The Kinks, the Solitons and the Shocks in Series‐Connected Discrete Josephson Transmission Lines

E Kogan - physica status solidi (b), 2022 - Wiley Online Library
The localized running waves in the discrete Josephson transmission lines (JTL), constructed
from Josephson junctions (JJ) and capacitors, are analytically studied. The quasicontinuum …

Generation of localized modes in an electrical lattice using subharmonic driving

LQ English, F Palmero, P Candiani, J Cuevas… - Physical review …, 2012 - APS
We show experimentally and numerically that an intrinsic localized mode (ILM) can be stably
produced (and experimentally observed) via subharmonic, spatially homogeneous driving in …

Josephson transmission line revisited

E Kogan - physica status solidi (b), 2023 - Wiley Online Library
Herein, the series‐connected Josephson transmission line (JTL), constructed from
Josephson junctions, capacitors, and (possibly) resistors, is considered. It is shown that the …

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

F Palmero, LQ English, J Cuevas… - Physical Review E …, 2011 - APS
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 …

Experimental study of intrinsic localized mode mobility in a cyclic, balanced, 1D nonlinear transmission line

M Sato, H Furusawa, M Sakai, Y Soga… - … Journal of Nonlinear …, 2023 - pubs.aip.org
Mobile intrinsic localized modes (ILMs) in balanced nonlinear capacitive-inductive cyclic
transmission lines are studied by experiment, using a spatiotemporal driver under damped …