1999/11/16 by K. M. Bekarian, Karen M. Bekarian, Bekarian, Karen M. +3
Physics and Astronomy · #Astrophysics (astro-ph) #Astrophysics and Star Formation Studies #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #Stellar, planetary, and galactic studies #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9911297
15 pages, LaTeX, accepted to Complex Systems
arxiv created 1999/11/16 · openalex publication_date 1999/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A 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.