2 papers
q-bio.NC2025
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…
math.DS2024
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…