On local bifurcations in neural field models with transmission delays.

  title={On local bifurcations in neural field models with transmission delays.},
  author={Stephan A. van Gils and Sophie Janssens and Y. A. Kuznetsov and S. Visser},
  journal={Journal of mathematical biology},
  volume={66 4-5},
Neural field models with transmission delays may be cast as abstract delay differential equations (DDE). The theory of dual semigroups (also called sun-star calculus) provides a natural framework for the analysis of a broad class of delay equations, among which DDE. In particular, it may be used advantageously for the investigation of stability and bifurcation of steady states. After introducing the neural field model in its basic functional analytic setting and discussing its spectral… CONTINUE READING

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