Oscillatory waves in inhomogeneous neural media
In this Letter we show that an inhomogeneous input can induce wave propagation
failure in an excitatory neural network, which is modeled as a nonlinear integro--differential equation, due to the pinning of a
stationary front or pulse solution. A subsequent reduction in the strength of the input
can lead to a Hopf instability of the stationary
solution resulting in breather-like oscillatory waves.
University of Utah
| Department of Mathematics
|
bressloff@math.utah.edu
Aug 2001.