Modeling sequential cognitive states via population level cortical dynamics
arXiv Preprint Archive May 4, 2026 M Virginia Bolelli, Luca Greco, Dario Prandi
In this work, we present a mathematical model for cyclic and sequential patterns of brain activity, combining heteroclinic dynamics with discrete neural-field models. We first show that spatial-discrete neural-field equations with biologically realistic equilibria cannot support heteroclinic cycles. On the other hand, heterocline dynamics often arise in Lotka-Volterra-type systems, but these...