On the Phase-Space Dynamics of Systems of Spiking Neurons. I: Model and Experiments

摘要

We investigate the phase-space dynamics of a general model of local sys- tems of biological neurons in order to deduce the salient dynamical char- acteristics of such systems. In this article, we present a detailed exposition of an abstract dynamical system that models systems of biological neu- rons. The abstract system is based on a limited set of realistic assumptions and thus accommodates a wide range of neuronal models.