Two-frequency self-oscillations in a FitzHugh-Nagumo neural network

摘要

A new mathematical model of a one-dimensional array of FitzHugh-Nagumo neurons with resistive-inductive coupling between neighboring elements is proposed. The model relies on a chain of diffusively coupled three-dimensional systems of ordinary differential equations. It is shown that any finite number of coexisting stable invariant two-dimensional tori can be obtained in this chain by suitably increasing the number of its elements.