Ever since the pioneering work of Hodgkin and Huxley, biological neuron models have
consisted of ODEs representing the evolution of the transmembrane voltage and the …

Homoclinic bifurcations of both equilibria and periodic orbits are argued to be critical for
understanding the dynamics of the Hindmarsh–Rose model in particular, as well as of some …

A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

Because of the advent of discrete memristor, memristor effect in discrete map has become
the important subject deserving discussion. To this end, this paper constructs a memristor …

When a phototube is activated to connect a neural circuit, the output voltage becomes
sensitive to external illumination because the photocurrent across the phototube can be …

Synaptic plasticity makes memristors particularly suitable for simulating the connection
synapses between neurons that describe magnetic induction coupling. By applying a …

We study the effects of periodic subthreshold pacemaker activity and time-delayed coupling
on stochastic resonance over scale-free neuronal networks. As the two extreme options, we …

Both capacitor and charge-controlled memristor (CCM) can regulate the inner energy levels
during the release and accumulation of charges in these electronic components …

Establishing a realistic and multiplier-free implemented biological neuron model is
significant for recognizing and understanding natural firing behaviors, as well as advancing …

When a system's activity alternates between a resting state (eg a stable equilibrium) and an
active state (eg a stable periodic orbit), the system is said to exhibit bursting behavior. We …