We do not currently know of any synonyms for inverse system.
The noun inverse system is defined as:
An indexed family of groups whose index set is a directed poset, together with a set of homomorphisms which are indexed by a subset of the Cartesian product of the index set with itself — which subset corresponds to the ordering relation of the directed poset — such that the domain and codomain of each homomorphism is obtained by reversing its ordered pair of indexes