Dynamics in stimulation-based tabu learning neuron model

Biological nervous system is very sensitive to external disturbance, and neuron will consume energy when responding to the disturbance. However, proper stimulation can help the organism to maintain neural function. In this paper, we explore the dynamics of tabu learning neuron models stimulated by different disturbances. Mathematical models of the tabu neuron are respectively built under external forced current stimulus, electromagnetic radiation stimulus, and both electromagnetic radiation and external forced current stimuli. The dynamical behaviors of these neuron models are studied by the analyses of equilibrium point, bifurcation diagram, Lyapunov exponential spectrum, phase trajectory and attraction basin. The Hamilton energy of these models are investigated based on the Helmholtz's theorem. It shows that the behavior of absorbing energy or dissipating energy in the firing process depends on the stimulation form on fvfvthe neuron model. Finally, a unified analog electronic neuron circuit is designed to observe different firing patterns by controlling the switches.