2025/10/05 by Sourav Bhattacharya, Bhattacharya, Sourav
Chemistry · #37E15 #37E25 #37E40 #Chemistry and Stereochemistry Studies #Dynamical Systems (math.DS) #FOS: Mathematics #Primary 37E05 #Secondary 37E45 37B20
paper · pdf · doi:10.48550/arxiv.2510.04155
openalex publication_date 2025/10/05 · openalex created_date 2025/10/09 · openalex updated_date 2026/07/31
We obtain a complete characterization of topologically exact patterns on triods. Based on their rotation number ρ, these exact patterns are grouped into three classes: slow (ρ< (1)/(3)), fast (ρ> (1)/(3)) and ternary (ρ= (1)/(3)). For each category, we derive a linear ordering of the set of natural numbers, ℕ that captures forcing between the patterns. We also show that each of these orderings is stable under perturbations.