87 citations · 93 across the 4 of their papers we have counts for
5 papers
Strong coupling yields abrupt synchronization transitions in coupled oscillators
Jorge L. Ocampo-Espindola, István Z. Kiss, Christian Bick +1
Coupled oscillator networks often display transitions between qualitatively different phase-locked solutions -- such as synchrony and rotating wave solutions -- following perturbat…
The influence of spatial configuration in collective transitions: the importance of being sorted
Daniel Galvis, David J. Hodson, Kyle C. A. Wedgwood
We studied the effects of spatial configuration on collective dynamics in a nearest-neighbour and diffusively coupled lattice of heterogeneous nodes. The networks contained nodes f…
Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis
Daniele Avitabile, Kyle Wedgwood
We study coarse pattern formation in a cellular automaton modelling a spatially-extended stochastic neural network. The model, originally proposed by Gong and Robinson [36], is kno…
Phase-amplitude descriptions of neural oscillator models
Kyle C A Wedgwood, Kevin K Lin, Rüdiger Thul +1
Phase oscillators are a common starting point for the reduced description of many single neuron models that exhibit a strongly attracting limit cycle. The framework for analysing s…
Limitations of perturbative techniques in the analysis of rhythms and oscillations
Kevin K. Lin, Kyle C. A. Wedgwood, Stephen Coombes +1
Perturbation theory is an important tool in the analysis of oscillators and their response to external stimuli. It is predicated on the assumption that the perturbations in questio…