Special Session 22: Modeling and dynamic analysis of complex patterns in biological systems and data
Contents
We consider a neural field coupled by an asymmetric off-centered connection. We first construct the traveling pulses using a system of delayed differential equations derived from the neural field model. We then investigate the necessary conditions for traveling pulses to exist in such a neural network. We find that the asymmetry in the coupling function is crucial for traveling pulses to exist. We explore when the traveling pulses cease to exist in terms of the off-center shift presented in the asymmetric coupling. We further study other dynamical properties of the traveling pulses and how the propagating speed depends on the gain and coupling parameters.