We study the nonlinear dynamics of two delay-coupled neural systems each modelled by excitable dynamics of FitzHugh-Nagumo type and demonstrate that bistability between the stable fixed point and limit cycle oscillations occurs for sufficiently large delay times and coupling strength. As the mechanism for these delay-induced oscillations we identify a saddle-node bifurcation of limit cycles.
@article{arxiv.0803.2352,
title = {Dynamics of delay-coupled excitable neural systems},
author = {M. A. Dahlem and G. Hiller and A. Panchuk and E. Schoell},
journal= {arXiv preprint arXiv:0803.2352},
year = {2015}
}