Map-based neuron networks
Borja Ibarz, Hongjun Cao, Miguel A. F. Sanjuán · AIP conference proceedings · 2007
Ever since the pioneering work of Hodgkin and Huxley, biological neuron models have consisted of ODEs representing the evolution of the transmembrane voltage and the dynamics of ionic conductances. It is only recently that maps — or difference equations — have begun to receive attention as valid conductance neuron models. They can not only be computationally advantageous substitutes of ODE models, but, since they accommodate chaotic dynamics in a natural way, they may reproduce rich collective behaviors that we explore here.