2 0 D ec 2 00 6 Coarse-grained dynamics of an activity bump in a neural field model

@inproceedings{Laing200620D,
  title={2 0 D ec 2 00 6 Coarse-grained dynamics of an activity bump in a neural field model},
  author={Carlo R. Laing and Thomas Frewen and Ioannis G. Kevrekidis},
  year={2006}
}
We study a stochastic nonlocal PDE, arising in the context of modelling spatially distributed neural activity, which is capable of sustaining stationary and moving spatially-localized “activity bumps”. This system is known to undergo a pitchfork bifurcation in bump speed as a parameter (the strength of adaptation) is changed; yet increasing the noise… CONTINUE READING