Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields.

@article{Hutt2010ActivitySA,
  title={Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields.},
  author={Axel Hutt and Nicolas P. Rougier},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={82 5 Pt 2},
  pages={
          055701
        }
}
The work studies the spatiotemporal activity propagation in a two-dimensional spatial system involving a finite transmission speed. We derive a numerical scheme in detail to integrate the corresponding evolution equation and validate the derived algorithm by a study of a spatially periodic system. Finally, the work demonstrates numerically transmission delay-induced breathers subjected to anisotropic external input. 

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