Based on knowledge of the variables of a link system and their interrelation, the purpose of this paper is to show how it is possible to specify all the objects relating to dependency chains of a discrete system which are essential in systemic analysis of any system.
An algorithm is designed based on previously developed theoretical concepts which enables the discovery of the aforementioned objects.
A tool has been developed which is able to analyse any system with given variables and dependencies in a fast and economical manner.
These results can be applied to a number of cases. For example, in the case of an ecosystem, the structural function associated with each species of the ecosystem can be determined, it could be ascertained whether a group of species covered another group of species, whether there is an invariant group of species can be determined, and the orbit of each species analysed.
The algorithm presented in this paper is innovative in that it is a direct transfer of the theoretical results presented in recent publications, and therefore presupposes a different treatment of the qualitative analysis of the system.
