Temporal oscillations in neuronal nets |
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| Authors: | G. B. Ermentrout J. D. Cowan |
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| Affiliation: | (1) Department of Biophysics and Theoretical Biology, The University of Chicago, 920 East 58th Street, 60637 Chicago, Illinois, USA |
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| Abstract: | Summary 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.The research reported in this paper was supported in part by NIH GM2037 |
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| Keywords: | Neurobiology Nonlinear integro-differential equations Bifurcation theory |
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