On the Feedback Controlling of the Neuronal System with Time Delay

For an individual Hindmarsh-Rose model neuron with time delay and dynamic threshold, the dynamic considerations of firing depending on time delay and synaptic intensity are studied in this chapter. It is found out that with the scaling of the delay time tau and synaptic intensity epsilon, neural firing patterns transform among tonic spiking, busting, and resting firing states each other; as an example, with two groups of the time delays tau and synaptic intensity epsilon, together, the neuronal chaotic firing behavior could be controlled to period-1 or period-3 activities, respectively.