305 citations · 506 across the 14 of their papers we have counts for
14 papers
Phase oscillator networks with multiple and state-dependent delays: A framework for exploring white matter plasticity in neurodynamics
Grace Jolly, Rachel Nicks, Stefan Ruschel +2
Network science is increasingly focused on how node dynamics influence emergent phenomena such as oscillations, waves, chimeras, and turbulence. In oscillatory systems modeled by n…
Adaptive conduction delays and phase locking in spiking Haken Lighthouse networks
Stephen Coombes, Rüdiger Thul, Stefan Ruschel +1
We develop a theory of phase-locked activity in delayed spiking networks using the Haken Lighthouse model as an analytically tractable event-based description of neural dynamics. F…
Network Attractors driven by Time-Delay Plasticity
Stefan Ruschel, Emanuil Hristov, Hil G. E. Meijer +2
We develop a framework for collective frequency selection and attractor formation by means of delay plasticity. Specifically, we consider adaptive axonal delays (AADs), motivated b…
Synchrony in firing rate neural networks with multiple delays: A harmonic balance approach
S Coombes, H G E Meijer
Networks of neural mass nodes with delayed interactions are increasingly being used as models for large-scale brain activity. To complement the growing number of computational stud…
Revisiting the Haken Lighthouse Model
S Coombes
Simple spiking neural network models, such as those built from interacting integrate-and-fire (IF) units, exhibit rich emergent behaviours but remain notoriously difficult to analy…
Oscillatory networks: Insights from piecewise-linear modeling
Stephen Coombes, Mustafa Sayli, Rüdiger Thul +3
There is enormous interest -- both mathematically and in diverse applications -- in understanding the dynamics of coupled oscillator networks. The real-world motivation of such net…