Spatiotemporal instabilities and pattern formation in systems of diffusively coupled Izhikevich neurons

  title={Spatiotemporal instabilities and pattern formation in systems of diffusively coupled Izhikevich neurons},
  author={Argha Mondal and Chittaranjan Hens and Arnab Kumar Mondal and Chris G. Antonopoulos},
  journal={Chaos, Solitons \& Fractals},
Neurons are often connected, spatially and temporally, in phenomenal ways that promote wave propagation. Therefore, it is essential to analyze the emergent spatiotemporal patterns to understand the working mechanism of brain activity, especially in cortical areas. Here, we present an explicit mathematical analysis, corroborated by numerical results, to identify and investigate the spatiotemporal, non-uniform, patterns that emerge due to instability in an extended homogeneous 2D spatial domain… 

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