10 citations · 11 across the 4 of their papers we have counts for
4 papers
Widespread neuronal chaos induced by slow oscillating currents
James Scully, Carter Hinsley, David Bloom +2
This paper investigates the origin and onset of chaos in a mathematical model of an individual neuron, arising from the intricate interaction between 3D fast and 2D slow dynamics g…
Bifurcation structure of interval maps with orbits homoclinic to a saddle-focus
Carter Hinsley, James Scully, Andrey L. Shilnikov
We study homoclinic bifurcations in an interval map associated with a saddle-focus of (2, 1)-type in -symmetric systems. Our study of this map reveals the homoclinic…
Pairing cellular and synaptic dynamics into building blocks of rhythmic neural circuits
James Scully, Jassem Bourahmah, David Bloom +1
The purpose of this paper is trifold -- to serve as an instructive resource and a reference catalog for biologically plausible modeling with i) conductance-based models, coupled wi…
Measuring chaos in the Lorenz and Rössler models: Fidelity tests for reservoir computing
James Scully, Alexander Neiman, Andrey Shilnikov
This study is focused on the qualitative and quantitative characterization of chaotic systems with the use of symbolic description. We consider two famous systems: Lorenz and Rössl…