3 papers
q-bio.NC2026
Hierarchical emergence of network bursting in a four-cell central pattern generator model
Krishna Pusuluri, Huiwen Wu, Andrey L. Shilnikov
How can a neural circuit rhythmically burst when none of its constituent neurons can endogenously do so? We address this question through a bottom-up reconstruction of a 4-cell neu…
math.DS2025
Cascades of Lorenz attractors in the Shimizu-Morioka model
Alexey Kazakov, Vladislav Koryakin, Klim Safonov +1
The Lorenz attractor is the first example of a robustly chaotic non-hyperbolic attractor. Each orbit of such an attractor has a positive top Lyapunov exponent, and this property pe…
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…