Flow decomposition

This repository hosts a few simulations related to the flow decomposition of nonequilibrium stochastic processes proposed by Ping Ao (SDE decomposition and A-type stochastic interpretation in nonequilibrium processes) for a series of different systems. Initially, we just took a couple of worked out examples from:

Following that, we tried to find an actual decomposition for another system, taken from:

Applications

The goal here is to try and use Ao's decomposition in the analysis of landscape (energy) models of nonequilibrium systems adopted, for example, as models of decision making and working memory:

inspired by the celebrated:

The main intuition is related to the presence of a nonequilibrium flux that is related to the hysteresis phenomenon used to represent memory or decisions by sustained activity in the models of neural circuits used in the last paper.