  Autocatalytic sets are sets of entities that mutually catalyse each other's
production through chemical reactions from a basic food source. Recently, the
reflexively autocatalytic and food generated theory has introduced a formal
definition of autocatalytic sets which has provided promising results in the
context of the origin of life. However, the link between the structure of
autocatalytic sets and the possibility of different long-term behaviours is
still unclear. In this work, we study how different interactions among
autocatalytic sets affect the emergent dynamics. To this aim, we develop a
model in which interactions are presented through composition operations among
networks, and the dynamics of the networks is reproduced via stochastic
simulations. We find that the dynamical emergence of the autocatalytic sets
depends on the adopted composition operations. In particular, operations
involving entities that are sources for autocatalytic sets can promote the
formation of different autocatalytic subsets, opening the door to various
long-term behaviours.
