Ginzburg–Landau models of nonlinear electric transmission networks
Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …
Discrete breathers in crystals
SV Dmitriev, EA Korznikova, YA Baimova… - Physics …, 2016 - iopscience.iop.org
It is well known that periodic discrete defect-containing systems support both traveling
waves and vibrational defect-localized modes. It turns out that if a periodic discrete system is …
waves and vibrational defect-localized modes. It turns out that if a periodic discrete system is …
Dark discrete breather modes in a monoaxial chiral helimagnet with easy-plane anisotropy
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 …
excitations in various media. We argue that these requirements are met in the forced …
Nonlinear localized modes in two-dimensional electrical lattices
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 context of nonlinear electrical lattices. Both stationary and moving self-localized modes …
Generation of localized modes in an electrical lattice using subharmonic driving
We show experimentally and numerically that an intrinsic localized mode (ILM) can be stably
produced (and experimentally observed) via subharmonic, spatially homogeneous driving in …
produced (and experimentally observed) via subharmonic, spatially homogeneous driving in …
Experimental investigation of supertransmission for an intrinsic localized mode in a cyclic nonlinear transmission line
M Sato, H Furusawa, M Sakai, Y Soga… - … Journal of Nonlinear …, 2022 - pubs.aip.org
In this experimental study of the nonlinear loss mechanism between traveling localized
excitation and the underlying extended normal mode spectrum for a 1D lattice, three types of …
excitation and the underlying extended normal mode spectrum for a 1D lattice, three types of …
Propagating intrinsic localized mode in a cyclic, dissipative, self-dual one-dimensional nonlinear transmission line
M Sato, H Furusawa, Y Soga, AJ Sievers - Physical Review E, 2023 - APS
A well-known feature of a propagating localized excitation in a discrete lattice is the
generation of a backwave in the extended normal mode spectrum. To quantify the parameter …
generation of a backwave in the extended normal mode spectrum. To quantify the parameter …
Experimental and numerical observation of dark and bright breathers in the band gap of a diatomic electrical lattice
We observe dark and bright intrinsic localized modes (ILMs), also known as discrete
breathers, experimentally and numerically in a diatomic-like electrical lattice. The …
breathers, experimentally and numerically in a diatomic-like electrical lattice. The …
Discrete breathers in crystals: Energy localization and transport
SV Dmitriev - Journal of Micromechanics and Molecular Physics, 2016 - World Scientific
Discrete breather (DB) is spatially localized vibrational mode in defect-free nonlinear lattice.
Frequency of DB must lie outside the spectrum of small-amplitude traveling waves. It neither …
Frequency of DB must lie outside the spectrum of small-amplitude traveling waves. It neither …
An Ising machine based on networks of subharmonic electrical resonators
Combinatorial optimization problems are difficult to solve with conventional algorithms. Here
we explore networks of nonlinear electronic oscillators evolving dynamically towards the …
we explore networks of nonlinear electronic oscillators evolving dynamically towards the …