There exist rich cooperative behaviors and their transitions in biological neuronal systems
as some key biological factors are changed. Among all of cooperative behaviors of neuronal …

Autapses are synapses that connect a neuron to itself in the nervous system. Previously,
both experimental and theoretical studies have demonstrated that autaptic connections in …

On the basis of the Hindmarsh–Rose (HR) neuron model, the dynamics of electrical activity
and the transition of firing patterns induced by three types of autapses have been …

In this paper, we study effects of partial time delays on phase synchronization in Watts-
Strogatz small-world neuronal networks. Our focus is on the impact of two parameters …

Bursting neurons fire rapid sequences of action potential spikes followed by a quiescent
period. The basic dynamical mechanism of bursting is the slow currents that modulate a fast …

Chaotic resonance (CR), in which a system responds to a weak signal through the effects of
chaotic activities, is a known function of chaos in neural systems. The current belief suggests …

Cluster synchronization of complex dynamical networks with fractional-order dynamical
nodes is discussed in the Letter. By using the stability theory of fractional-order differential …

It is a known fact that astrocytes not only physically support neurons by supplying nutrients to
the nervous tissue and maintaining the extracellular ionic balance but they also …

Many real-world systems are connected together, in natural and man-made networks. A
complex-valued laser network can simulate the working mechanism of human brain …

We consider an excitatory population of subthreshold Izhikevich neurons which cannot fire
spontaneously without noise. As the coupling strength passes a threshold, individual …