Delay-induced patterns in a two-dimensional lattice of coupled oscillators

M Kantner, E Schöll, S Yanchuk - Scientific reports, 2015 - nature.com
We show how a variety of stable spatio-temporal periodic patterns can be created in 2D-
lattices of coupled oscillators with non-homogeneous coupling delays. The results are …

Bayesian optimisation of large-scale biophysical networks

J Hadida, SN Sotiropoulos, RG Abeysuriya… - Neuroimage, 2018 - Elsevier
The relationship between structure and function in the human brain is well established, but
not yet well characterised. Large-scale biophysical models allow us to investigate this …

Pattern reverberation in networks of excitable systems with connection delays

L Lücken, DP Rosin, VM Worlitzer… - … Interdisciplinary Journal of …, 2017 - pubs.aip.org
We consider the recurrent pulse-coupled networks of excitable elements with delayed
connections, which are inspired by the biological neural networks. If the delays are tuned …

Reduction of interaction delays in networks

L Lücken, JP Pade, K Knauer, S Yanchuk - Europhysics Letters, 2013 - iopscience.iop.org
Delayed interactions are a common property of coupled natural systems and therefore arise
in a variety of different applications. For instance, signals in neural or laser networks …

Amplitude death in delay-coupled oscillators on directed graphs

Y Sugitani, K Konishi - Physical Review E, 2022 - APS
The present paper investigates amplitude death (AD) in delay-coupled oscillators on
directed graphs, in which the connection delays among oscillators are heterogeneous. We …

Multidelay differential equations: A taylor expansion approach

P Doldo, J Pender - International Journal of Bifurcation and Chaos, 2022 - World Scientific
It is already well-understood that many delay differential equations with only a single
constant delay exhibit a change in stability according to the value of the delay in relation to a …

Geometric analysis of synchronization in neuronal networks with global inhibition and coupling delays

H Ryu, SA Campbell - Philosophical Transactions of the …, 2019 - royalsocietypublishing.org
We study synaptically coupled neuronal networks to identify the role of coupling delays in
network synchronized behaviour. We consider a network of excitable, relaxation oscillator …

A new method to reduce the number of time delays in a network

A Wagemakers, MAF Sanjuán - Scientific reports, 2017 - nature.com
Time delays may cause dramatic changes to the dynamics of interacting oscillators. Coupled
networks of interacting dynamical systems can have unexpected behaviours when the …

Delay Differential Equation Models for Queueing Theory

PM Doldo - 2022 - search.proquest.com
In many service systems, customers are often presented with information about queue
lengths or waiting times. This information has the potential to influence the decisions of …

Reducing the number of time delays in coupled dynamical systems

A Wagemakers, J Used, MAF Sanjuan - The European Physical Journal …, 2018 - Springer
When several dynamical systems interact, the transmission of the information between them
necessarily implies a time delay. When the time delay is not negligible, the study of the …