10 citations · 11 across the 4 of their papers we have counts for
3 papers · 1 filter
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…
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…