Chaos control in random Boolean networks by reducing mean damage percolation rate

TL;DR

This paper introduces an active control method for Random Boolean networks that reduces the number of nodes needed to transition from chaos to order by strategically selecting controlled nodes based on network information.

Contribution

It proposes a novel control approach where controlled nodes actively influence the network, improving efficiency over previous passive methods.

Findings

Reduced number of nodes required for control

Simulation confirms effectiveness of the method

Theoretical estimates match simulation results

Abstract

Chaos control in Random Boolean networks is implemented by freezing part of the network to drive it from chaotic to ordered phase. However, controlled nodes are only viewed as passive blocks to prevent perturbation spread. This paper proposes a new control method in which controlled nodes can exert an active impact on the network. Controlled nodes and frozen values are deliberately selected according to the information of connection and Boolean functions. Simulation results show that the number of nodes needed to achieve control is largely reduced compared to previous method. Theoretical analysis is also given to estimate the least fraction of nodes needed to achieve control.