Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

This work presents a mathematical modeling of chirped modulated waves propagating
along a two-dimensional nonlinear electrical transmission line consisting of nonlinear …

The unified processing and research of multiple network models are implemented, and a
new theoretical advance has been made, which sets up two new theorems on evaluating the …

In the present work, we explore soliton and roguelike wave solutions in the transmission line
analog of a nonlinear left-handed metamaterial. The nonlinearity is expressed through a …

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 …

We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally
periodic and spatially localized structures, in a two-dimensional array of repelling magnets …

We observe dark and bright intrinsic localized modes (ILMs), also known as discrete
breathers, experimentally and numerically in a diatomic-like electrical lattice. The …

We consider a previously experimentally realized discrete model that describes a
mechanical metamaterial consisting of a chain of pairs of rigid units connected by flexible …

Inspired by standard electrophysiological models of microtubules (MTs), we consider a
relatively large one-dimensional spatial array of nonlinear electrical transmission network …

Consider a class of 2× n hammock network with two special conditions, the left and right
boundary is zero resistance (collapse into a pole), and the middle horizontal axis is arbitrary …