Dynamics in a memristive neuron under an electromagnetic field

Propagation and exchange of electrical signals between neurons mainly depend on the controllability of synapses. These electrical signals will affect the dynamic characteristics of ion channels on the neuron membrane and the firing activity of neurons can be changes. Polarization and magnetization of media exposed to electromagnetic field encode energy distribution and the neural activities will be changed greatly. The incorporation of memristors is effective to estimate the energy effect from the physical field on neurons. In this work, a charge-controlled memristor (CCM) and a magnetic flux-controlled memristor (MFCF) are connected in parallel to a FitzHugh–Nagumo (FHN) neural circuit for building a new neural circuit, which can perceive modulation from external electric and magnetic fields. Furthermore, the dynamical equation of the memristive neural circuit and the field energy of electrical elements are obtained based on Kirchhoff’s law and Helmholtz’s theorem. The firing patterns of the memristive neuron and energy proportion can be controlled when the external electric and magnetic fields are adjusted. Continuous energy injection into the memristive channels enables memristive synapses to become self-adaptive under energy flow. Noisy disturbance and radiation are applied to discern the occurrence of coherent resonance in this memristive neuron. The results can be used to explore the collective behaviors and creation of heterogeneity in networks in the presence of an electromagnetic field.