2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15256A parametric approach is developed to the method of S-tree diagrams and its generalization for investigation of the hierarchical substructure of $N$-body nonlinearly interacting systems (e.g., clusters of galaxies). The introduction of a parametric function allows us to take into account the individual features of the particles which do not have a direct influence on the dynamics of the system but are crucial for analyzing the output data. An algorithm is proposed for the latter based on the construction of parametrical subgroups. A generalization of the S-tree scheme is presented as well. This enables us to perform parallel substructure analysis with respect to various dependent or independent parameters, thus using fully the initial information of a system.15 pages, LaTeX, accepted to Complex SystemsAstrophysicstext