62 citations · 72 across the 3 of their papers we have counts for
3 papers
math.DS2020
Auditory streaming emerges from fast excitation and slow delayed inhibition
Andrea Ferrario, James Rankin
In the auditory streaming paradigm alternating sequences of pure tones can be perceived as a single galloping rhythm (integration) or as two sequences with separated low and high t…
math.DS2019★ 10 cited
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability
A. Pérez-Cervera, P. Ashwin, G. Huguet +2
We study the dynamics arising when two identical oscillators are coupled near a Hopf bifurcation where we assume a parameter uncouples the system at . Using a normal form…
math.DS2013★ 62 cited
Continuation of localised coherent structures in nonlocal neural field equations
James Rankin, Daniele Avitabile, Javier Baladron +2
We study localised activity patterns in neural field equations posed on the Euclidean plane; such models are commonly used to describe the coarse-grained activity of large ensemble…