To analyse large models using asynchronous updates, one can alternatively randomly pick a single component to be updated at each step, leading to a single successor. This "random walk" in the asynchronous STG is repeated to create a sampling of the reachable attractors. More generally, such random walks can be applied to any updating policy which yields multiple successors.
R package for the simulation, reconstruction and analysis of various types of Boolean networksMaBoSS
Continuous time Boolean modeling