13 citations · 36 across the 25 of their papers we have counts for
9 papers · 1 filter
Stability of coupled Wilson-Cowan systems with distributed delays
Eva Kaslik, Emanuel-Attila Kokovics, Anca Radulescu
Building upon our previous work on the Wilson-Cowan equations with distributed delays, we study the dynamic behavior in a system of two coupled Wilson-Cowan pairs. We focus in part…
Mandelbrot sets for fixed template iterations
Mark Comerford, Anca Radulescu, Kieran Cavanagh
We study the dynamics of template iterations, consisting of arbitrary compositions of functions chosen from a finite set of polynomials. In particular, we focus on templates using…
Effects of local mutations in quadratic iterations
Anca Radulescu, Abraham Longbotham
We introduce mutations in replication systems in which the intact copying mechanism is performed by discrete iterations of a complex quadratic map in the family . M…
Stability and bifurcations in Wilson-Cowan systems with distributed delays, and an application to basal ganglia interactions
Eva Kaslik, Emanuel-Attila Kokovics, Anca Radulescu
The traditional Wilson-Cowan model of excitatory and inhibitory mean field interactions in neuronal populations considers a weak Gamma distribution of time delays when processing i…
Networks of coupled quadratic nodes
Anca Radulescu, Simone Evans
We study asymptotic dynamics in networks of coupled quadratic nodes. While single map complex quadratic iterations have been studied over the past century, considering ensembles of…
Template iterations of quadratic maps and hybrid Mandelbrot sets
Anca Radulescu, Kelsey Butera, Brandee Williams
As a particular problem within the field of non-autonomous discrete systems, we consider iterations of two quadratic maps and , according to a pr…