Santiago Length Dynamical System to Predict Message Inflation and Size Buffers in IIoT Pipelines (#502)
Read ArticleDate of Conference
July 15-17, 2026
Published In
"Engineering without Borders: Artificial Intelligence, Knowledge, Innovation, and Alliances for a Future from the Americas"
Location of Conference
Santiago (Chile)
Authors
Mendoza Delgado, Raphael Santiago
Mendoza Arenas, Ruben Dario
Farfán Aguilar, José Antonio
Morales Chalco, Osmart Raúl
La Chira Loli, Monica Beatriz
Arbañil Rivadeneira, Ruben Orlando
Rojas Orbegoso, Jorge Luis
Abstract
We propose the Santiago Dynamical System (SDS) as a unifying formulation of discrete dynamics on N generated by a coding and an observable. The central case studied in this work is the length SDS, where the observable is the length of a word α(n) over an alphabet Σ, giving rise to the iteration nk+1 = α(nk) . This perspective connects functional graphs on N with symbolic dynamics, coding theory, and Lyapunov-type potential methods. Universal structural properties are presented, including contraction/expansion criteria and a methodological framework to characterize attractors, basins, and iterative complexity in classes of natural codings. Finally, conjectures are formulated concerning small attractors and iterated-logarithmtype convergence in compact codings.