14 citations · 15 across the 4 of their papers we have counts for
5 papers
Travelling waves modulated by subthreshold oscillations in networks of integrate-and-fire neurons
Henry D. J. Kerr, Peter Ashwin, Kyle C. A. Wedgwood
Travelling waves of neural firing activity are observed in brain tissue as a part of various sensory, motor and cognitive processes. They represent an object of major interest in t…
A Dynamical Blueprint for Brain State Organization
Kateryna Nechyporenko, Peter Ashwin, Krasimira Tsaneva-Atanasova
The brain is not static: neuronal networks shift between contrasting modes of activity, alternating between active and quiescent regimes known as up and down states. Together with…
A Novel Route to Oscillations via non-central SNICeroclinic Bifurcation: Unfolding the Separatrix Loop Between a Saddle-Node and a Saddle
Kateryna Nechyporenko, Peter Ashwin, Krasimira Tsaneva-Atanasova
In this paper, we investigate saddle-node to saddle separatrix--loops that we term SNICeroclinic bifurcations. They are generic codimension-two bifurcations involving a heteroclini…
Transitions in echo index and dependence on input repetitions
Peter Ashwin, Andrea Ceni
The echo index counts the number of simultaneously stable asymptotic responses of a nonautonomous (i.e. input-driven) dynamical system. It generalizes the well-known echo state pro…
The influence of noise on scalings for in-out intermittency
Peter Ashwin, Eurico Covas, Reza Tavakol
We study the effects of noise on a recently discovered form of intermittency, referred to as in-out intermittency. This type of intermittency, which reduces to on-off in systems wi…