Some new results for the GHWS model

TL;DR

This paper presents new insights into the GHWS model, highlighting how discretized parameter space leads to distinct collective states and linking energy loss and activity fluctuations to dynamics.

Contribution

It introduces a novel perspective on the GHWS model by connecting parameter space discretization with collective dynamic states and activity fluctuations.

Findings

Discretization of parameter space into distinct states.

Relation between energy loss and activity fluctuations.

Basic processes modeled with minimal ingredients.

Abstract

Here we outline some new results for the GHWS model which points to a discretization of parameter space into well differentiated collective dynamic states. We argue this can lead to basic processes in parameter space, starting with minimum modelling ingredients: a complex network with a disorder parameter and an excitable dynamics (cellular automata) on it. We relate {\it energy loss} and {\it dynamics} for processes in parameter space with constant fluctuations of activity.