Complex Systems Lab 

Collaborations :

• Fernando Angulo Brown (ESFM-IPN)

• Larry S. Liebovitch (U. Columbia, USA)

• Gabriel Ramos-Fernández (IIMAS-UNAM)

• Cristina Masoller (UPC )

• Reik Donner (Magdeburg-Stendal University of Applied Sciences, Germany)

• Israel Reyes Ramírez (UPIITA-IPN)

• R. Hernández Pérez (Satmex, ESFM-IPN)

• Research Group on Thermodynamics and Statistical Physics (U. de Salamanca, Spain)

• A. Ramírez-Rojas (UAM-Azcapotzalco)

Students:

• Jardi Yulistian García Bustamante (M. Sc. Studente, Co-supervised with Daniel Aguilar Velazquez (ESCOM-IPN))

• Alvaro Zabaleta (UPIITA-IPN,  Ph. D. in Adv. Tec. Co-supervised with Cristina Masoller (UPC) )

• Tania Hernández H. (UPIITA-IPN,  Ph. D. in Adv. Tec. Co-supervised with Gabriel Ramos-Fernández (IIMAS-UNAM))

Recent papers:

• Unveiling synchronization transitions in networks of coupled oscillators through persistent homology of local structures. A Zabaleta-Ortega, C Masoller, L Guzmán-Vargas, Accepted in Scientific. Reports (2025).

• Detection of Significant Seismic Quiescence Patterns in the Mexican Subduction Zone Using Extended Schreider Algorithms. Carlos Carrizales-Velazquez, Jennifer Perez-Oregon, Israel Reyes-Ramírez, Lev Guzmán-Vargas, Fernando Angulo-Brown. Entropy 27 (9), 960, (2025).

• Multiscale Simplicial Complex Entropy Analysis of Heartbeat Dynamics. A. Zabaleta-Ortega, C. Carrizales-Velazquez, B. Obregón-Quintana, L. Guzmán-Vargas, Entropy 27 (5), 467, (2025)

• Correlations and Fractality in Sentence-Level Sentiment Analysis Based on VADER for Literary Texts. Hernández-Pérez, R., Pablo Lara-Martínez, B. Obregón-Quintana, L. S. Liebovitch, and L. Guzmán-Vargas. Information 15, no. 11 (2024): 698.

• Simplicial complex entropy for time series analysis, L Guzmán-Vargas, A Zabaleta-Ortega, A Guzmán-Sáenz. Scientific Reports 13 (1), 22696, 2023. 

A script for calculating the Simplicial Complex Approximate Entropy ( SCAE_1) is described in this Github repository.  

• Topological data analysis of the synchronization of a network of Rössler chaotic electronic oscillators.  A Zabaleta-Ortega, C Masoller, L Guzmán-Vargas, Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (11), 2023

• A multiplex analysis of phonological and orthographic networks Pablo Lara-Martínez, Bibiana Obregón-Quintana, CF Reyes-Manzano, Irene López-Rodríguez, Lev Guzmán-Vargas.  Plos one 17 (9), e0274617

• Generalization of Higuchi's fractal dimension for multifractal analysis of time series with limited length, Carlos Carrizales-Velazquez, Reik V Donner, Lev Guzmán-Vargas.  Nonlinear Dynamics volume 108, pages 417–431 (2022).

• The Complex Structure of the Pharmacological Drug–Disease Network. Irene López-Rodríguez, Cesár F Reyes-Manzano, Ariel Guzmán-Vargas, Lev Guzmán-Vargas, Entropy 23 (9), 1139, 2021

• Comparing phonological and orthographic networks: A multiplex analysis, P Lara-Martínez, B Obregón-Quintana, CF Reyes-Manzano, I. López-Rodríguez, L. Guzmán-Vargas, Plos one 16 (2), e0245263, 2021

• Drugs, Active Ingredients and Diseases Database in Spanish. Augmenting the Resources for Analyses on Drug–Illness Interactions I López-Rodríguez, CF Reyes-Manzano, I Reyes-Ramírez, T. Contreras-Uribe, L. Guzmán-Vargas, Data 6 (1), 3, 2021