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. 1979 Apr 18;7(3):265-80.
doi: 10.1007/BF00275728.

Temporal oscillations in neuronal nets

G B Ermentrout, J D Cowan

Temporal oscillations in neuronal nets

G B Ermentrout et al. J Math Biol. .

Abstract

A model for the interactions of cortical neurons is derived and analyzed. It is shown that small amplitude spatially inhomogeneous standing oscillations can bifurcate from the rest state. In a periodic domain, traveling wave trains exist. Stability of these patterns is discussed in terms of biological parameters. Homoclinic and heteroclinic orbits are demonstrated for the space-clamped system.

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