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math.DS2024
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…
math.DS2023★ 1 cited
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…