The Hodgkin-Huxley-Wilson neural network model has robustly dissipative global dynamics with a sharp ultimate bound and exhibits complete exponential synchronization when interneuron coupling exceeds an explicit threshold.
Rinzel,Excitation dynamics: insights from simplified membrane models, Federation Pro- ceedings,44(1985), 2944-2946
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Global Dynamics and Synchronization of Hodgkin-Huxley-Wilson Neural Networks
The Hodgkin-Huxley-Wilson neural network model has robustly dissipative global dynamics with a sharp ultimate bound and exhibits complete exponential synchronization when interneuron coupling exceeds an explicit threshold.