Publications [#368262] of Christopher L. Chariker

Papers Published

1. Chariker, L; Lebowitz, JL, Time evolution of a mean-field generalized contact process, Journal of Statistical Mechanics: Theory and Experiment, vol. 2022 no. 2 (February, 2022), pp. 023502-023502, IOP Publishing [doi]
   (last updated on 2024/04/23)

   Abstract:
   Abstract We investigate the macroscopic time evolution and stationary states of a mean field discrete voltage neuron model, or equivalently, a generalized contact process in ?? ?? R d ?? . The model is described by a coupled set of nonlinear integral-differential equations. It was inspired by a model of neurons with discrete voltages evolving by a stochastic integrate and fire mechanism. We obtain a complete solution in the spatially uniform case and partial solutions in the general case. The system has one or more fixed points and also traveling wave solutions.