TEMPORAL OSCILLATIONS IN NEURONAL NETS

被引：87

作者：

ERMENTROUT, GB

COWAN, JD

机构：

[1] Department of Biophysics and Theoretical Biology, The University of Chicago, Chicago, 60637, Illinois

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1979年 / 7卷 / 03期

关键词：

Bifurcation theory; Neurobiology; Nonlinear integro-differential equations;

D O I：

10.1007/BF00275728

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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. © 1979 Springer-Verlag.

引用

页码：265 / 280

页数：16

共 19 条

[1] BIFURCATION ANALYSIS OF REACTION-DIFFUSION EQUATIONS .3. CHEMICAL OSCILLATIONS [J].