title: Oscillatory waves in inhomogeneous neural media.
abstract: In this Letter we show that an inhomogeneous input can induce wave propagation failure in an excitatory neural network 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 breatherlike oscillatory waves.
authors: Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA.
authors: P C
authors: PC
authors: Bressloff
authors: S E
authors: SE
authors: Folias
authors: A
authors: A
authors: Prat
authors: Y-X
authors: YX
authors: Li
mesh_terms: D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology; D009474:Neurons / Q000502:physiology*; D013569:Synapses / Q000502:physiology; D009435:Synaptic Transmission / Q000502:physiology*