Significance of redundancy-dominated systems near the critical boundary

Ascertain the dynamical and functional significance of redundancy-dominated Boolean networks exhibiting Derrida coefficients close to one, i.e., lying near the critical boundary between subcritical and supercritical regimes.

Background

The authors compute Derrida coefficients to quantify sensitivity to perturbations and identify dynamical regimes. Redundancy-dominated networks are found to have average Derrida coefficients near the critical value of one, positioning them at the edge between stability and chaos.

While the paper documents this finding, it explicitly notes that the implication of redundancy-dominated systems being at this critical boundary is not yet understood.