3 papers
math.PR2016
Finite-Size Effects on Traveling Wave Solutions to Neural Field Equations
Eva Lang, Wilhelm Stannat
Neural field equations are used to describe the spatiotemporal evolution of the activity in a network of synaptically coupled populations of neurons in the continuum limit. Their h…
math.PR2016
-Stability of Traveling Wave Solutions to Nonlocal Evolution Equations
Eva Lang, Wilhelm Stannat
Stability of the traveling wave solution to a general class of one-dimensional nonlocal evolution equations is studied in -spaces, thereby providing an alternative approach to…
math.PR2015
A Multiscale Analysis of Traveling Waves in Stochastic Neural Fields
Eva Lang
We analyze the effects of noise on the traveling wave dynamics in neural fields. The noise influences the dynamics on two scales: first, it causes fluctuations in the wave profile,…