Superconducting metamaterials

N Lazarides, GP Tsironis - Physics Reports, 2018 - Elsevier
Metamaterials, ie artificial, man-made media designed to achieve properties not available in
natural materials, have been the focus of intense research during the last two decades …

Chimeras in SQUID metamaterials

N Lazarides, G Neofotistos, GP Tsironis - Physical Review B, 2015 - APS
Regular lattices comprising superconducting quantum interference devices (SQUIDs) form
magnetic metamaterials exhibiting extraordinary properties, including tunability, dynamic …

[HTML][HTML] Synchronization of phase oscillators with coupling mediated by a diffusing substance

CAS Batista, JD Szezech Jr, AM Batista… - Physica A: Statistical …, 2017 - Elsevier
We investigate the transition to phase and frequency synchronization in a one-dimensional
chain of phase oscillator “cells” where the coupling is mediated by the local concentration of …

Synchronization of biological clock cells with a coupling mediated by the local concentration of a diffusing substance

FAS Silva, SR Lopes, RL Viana - Communications in Nonlinear Science …, 2016 - Elsevier
The circadian rhythm in mammals is determined by the output of biological clock cells, eg in
the brain suprachiasmatic nucleus. Each biological clock cell has its own period and can …

Bursting synchronization in networks with long-range coupling mediated by a diffusing chemical substance

RL Viana, AM Batista, CAS Batista… - … in Nonlinear Science …, 2012 - Elsevier
Many networks of physical and biological interest are characterized by a long-range
coupling mediated by a chemical which diffuses through a medium in which oscillators are …

Birhythmicity, synchronization, and turbulence in an oscillatory system with nonlocal inertial coupling

V Casagrande, AS Mikhailov - Physica D: Nonlinear Phenomena, 2005 - Elsevier
We consider a model where a population of diffusively coupled limit-cycle oscillators,
described by the complex Ginzburg–Landau equation, interacts nonlocally via an inertial …

Synchronization of phase oscillators due to nonlocal coupling mediated by the slow diffusion of a substance

P Haerter, RL Viana - Brazilian Journal of Physics, 2023 - Springer
Many systems of physical and biological interest are characterized by assemblies of phase
oscillators whose interaction is mediated by a diffusing chemical. The coupling effect results …

An integro-differential equation for dynamical systems with diffusion-mediated coupling

RP Aristides, RL Viana - Nonlinear dynamics, 2020 - Springer
Many systems of biological interest can be modeled as pointlike oscillators whose coupling
is mediated by the diffusion of some substance. This coupling occurs because the dynamics …

Phase turbulence in the nonlocally coupled phase equation

D Battogtokh - Physics Letters A, 2002 - Elsevier
A four variable reaction–diffusion system for population of hypothetical biological cells which
are coupled through diffusive chemical substances is proposed. Using standard reduction …

[PDF][PDF] Synchronization, waves, and turbulence in systems of interacting chemical oscillators

V Casagrande - 2006 - depositonce.tu-berlin.de
The aim of this thesis is to investigate systems of interacting nonlinear oscillators. We
analyze nonlocally coupled oscillators where the interaction among the dynamical units is …