PATTERNS OF SYNCHRONY IN A HETEROGENEOUS HODGKIN-HUXLEY NEURAL-NETWORK WITH WEAK-COUPLING

A phase reduction formalism is applied to study various patterns of sy nchrony displayed by a heterogeneous network of Hodgkin-Huxley neurons . The phase diagram of this system is obtained. In particular, the fra ction of frequency locked neurons is shown to be a non-monotonic funct ion of the heterogeneity. A dynamical regime in which the neurons osci llate with a high degree of coherence but with dispersion of the firin g rates is found.