Patterns of synchrony in a heterogeneous Hodgkin-Huxley neural network with weak coupling

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Abstract

A phase reduction formalism is applied to study various patterns of synchrony displayed by a heterogeneous network of Hodgkin-Huxley neurons. The phase diagram of this system is obtained. In particular, the fraction of frequency locked neurons is shown to be a non-monotonic function of the heterogeneity. A dynamical regime in which the neurons oscillate with a high degree of coherence but with dispersion of the firing rates is found.

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