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 …

Dynamics of coexisting rotating waves in unidirectional rings of bistable Duffing oscillators

JJ Barba-Franco, A Gallegos… - … Journal of Nonlinear …, 2023 - pubs.aip.org
We study the dynamics of multistable coexisting rotating waves that propagate along a
unidirectional ring consisting of coupled double-well Duffing oscillators with different …

Chimera states in ensembles of bistable elements with regular and chaotic dynamics

IA Shepelev, AV Bukh, GI Strelkova, TE Vadivasova… - Nonlinear …, 2017 - Springer
We consider ensembles of bistable elements with nonlocal interaction. It is shown that the
bistability of units in the case of nonlocal interaction leads to the formation of chimera …

Dynamics of traveling pulses developed in a tunnel diode oscillator ring for multiphase oscillation

K Narahara - Nonlinear Dynamics, 2019 - Springer
Herein, we characterize the dynamics of traveling pulses developed in tunnel diode (TD)
oscillators that form a closed ring via neighbor-to-neighbor coupling by lossy inductors for …

Onset of the propagating pulse wave in a ring of coupled bistable oscillators

K Shimizu, M Komuro, T Endo - Nonlinear Theory and Its …, 2011 - jstage.jst.go.jp
One of the onset mechanisms of the propagating pulse wave observed in a ring of coupled
bistable oscillators is investigated. In particular, a formation mechanism of the propagating …

[HTML][HTML] Fano resonances in an electrical lattice

MI Molina - Physics Letters A, 2022 - Elsevier
We study the scattering properties of an electrical lattice consisting of a one-dimensional
array of inductively-coupled LC units. For an initially localized electrical excitation, and in the …

Multiphase oscillator using traveling pulses developed in a system of transmission lines with regularly spaced resonant-tunneling diodes

K Narahara - Journal of Infrared, Millimeter, and Terahertz Waves, 2017 - Springer
A scheme is proposed for generating multiphase oscillatory signals in millimeter-wave
frequencies based on the dynamics of a traveling pulse developed in a closed transmission …

[PDF][PDF] Rotating Wave Dynamics in Rings of Coupled Oscillators: A Comprehensive Review

AN Pisarchik - Nonlinear Phenomena in Complex Systems, 2023 - academia.edu
The investigation of collective dynamics in coupled oscillators has garnered significant
attention from researchers spanning diverse scientific disciplines. Its wide-ranging …

Bifurcation analysis of the propagating wave and the switching solutions in a ring of six-coupled bistable oscillators—bifurcation starting from type 2 standing wave …

K Kamiyama, M Komuro, T Endo - International Journal of …, 2012 - World Scientific
In this paper, we analyze the bifurcation of Type 2 periodic solution in a ring of six-coupled
bistable oscillators. We show that pitchfork and heteroclinic bifurcations, which induce …

Chaos of the propagating pulse wave in a ring of six-coupled bistable oscillators

K Kamiyama, T Endo - International Journal of Bifurcation and …, 2012 - World Scientific
In this paper, some properties of the chaotic propagating pulse wave in a ring of six-coupled
bistable oscillators are investigated. When coupling factor α becomes large beyond a certain …