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.