… For the neural-field model we derive conditions for the existence of spatial and temporal …
traveling waves using linear stability analysis. We first prove that periodic traveling waves …

… However, the authors do not observe stable traveling waves in the spiking network, even
though the neural-field model predicts their occurrence. In the limit of slow synaptic interactions, …

… The network is modeled in terms of a nonlocal integro-… , and the output firing rate of a neuron
is taken to be a Heaviside … derive conditions for the existence of stimulus-locked waves by …

… The difficult condition is (iii), which we cannot expect … traveling waves in neural networks.
The main class of models assumes piecewise constant or linear interactions between networks …

… First, we describe how traveling waves can interact with … equations using a simulation of
spiking neurons. Second, we use … Using as the initial condition for the second wave, we have at …

… traveling waves along spiny dendrites: a spike–diffuse–spike … to analyze solitary waves
propagating in spiking neural net… neuron since t = 0, say, then we have the threshold condition …

… (2), we can evaluate the threshold condition (32) to find a … of terminating traveling pulses in
neuronal network models with … be adapted to noisy neural fields or spiking neuron networks. …

… conditions (central, stochastic, and alternating stimulation), we demonstrate that starting
from a random network, traveling waves … biologically inspired neuronal networks and more …

… The symmetric nature of the traveling waves was justified and a numerical … the traveling
waves was constructed. Adding adaptation in the network and imposing special initial conditions …

… Another important property of homogeneous networks is that they support traveling waves …
In this section, we calculate the average wavespeed and the conditions for wave propagation …