Seminar: Mathematical Psychology XXIV

Time: 2026-01-05 10:47:00

Date: January 9, 2026

Participants: Prof. Ye Qi, Prof. Han Biao, Prof. Tan Lihui, and students Luo Tongxiao, Lin Ziluo, Chen Hengjie, Chen Yingrui, among others

Seminar Topic: Mathematical Foundations of Neuroscience and Fast-Slow Analysis of Neuronal Networks

Content: The seminar discussed single-neuron dynamics, synaptic connections and coupled neuronal behavior based on multiple time scales and geometric singular perturbation theory, including the relationship between nullcline intersections and stable nodes, stable foci and limit cycles, supercritical Andronov-Hopf bifurcations, post-inhibitory rebound, in-phase synchronization under excitatory coupling, anti-phase synchronization under inhibitory coupling, and the release and escape mechanisms.