Temporal oscillations in neuronal nets
- 1 January 1979
- journal article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 7 (3) , 265-280
- https://doi.org/10.1007/bf00275728
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.Keywords
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