Phase diagrams and dynamics of a computationally efficient map-based neuron model

Published in PLoS ONE, 2017

Recommended citation: M. Girardi-Schappo, G. Bortolotto, R. Stenzinger, J. Gonsalves, M. Tragtenberg (2017): Phase diagrams and dynamics of a computationally efficient map-based neuron model. PLoS ONE 12: e0174621. https://dx.doi.org/10.1371/journal.pone.0174621

We introduce a new map-based neuron model derived from the dynamical perceptron family that has the best compromise between computational efficiency, analytical tractability, reduced parameter space and many dynamical behaviors. We calculate bifurcation and phase diagrams analytically and computationally that underpins a rich repertoire of autonomous and excitable dynamical behaviors. We report the existence of a new regime of cardiac spikes corresponding to nonchaotic aperiodic behavior. We compare the features of our model to standard neuron models currently available in the literature.