Temporal oscillations in neuronal nets.

J Math Biol, 1979/4/18;7(3):265-80.

Ermentrout GB, Cowan JD

PMID: 224126

Impact factor: 2.164

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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