Área de interés/experiencia en investigación

• Redes Dinámicas Complejas. Propagación y Control de información en Redes Complejas.
  

• Aprendizaje Automático. Aplicaciones en Química y Física. Aplicaciones en la predicción de propiedades moleculares. Aplicaciones en modelosde propagación de enfermedades infecciosas: Dengue, Covid.

• Dinámica Cuántica lineal y no lineal. Ecuación de Schrödinger lineal y no-lineal. Evolución de paquetes de onda, Estados Coherentes, Evolución temporal de la Función de Wigner, Control  de sistemas cuánticos.

• Fisica Computacional. Métodos numéricos y semi-analíticos en física matemática para la solución de ecuaciones diferenciales lineales y no-lineales. Método de elemento finito, métodos de colocación, métodos semi-espectrales y espectrales, diferencias finitas, métodos algebráicos. Método de Adomian.

• Construcción de compiladores.

Publicaciones en Revistas

A Methodology for the Analysis of Collaboration Networks with Higher-Order Interactions
Mathematics
2023-05-12 | Journal article
DOI: 10.3390/math11102265
Contributors: Daniela Aguirre-Guerrero; Roberto Bernal-Jaquez

Communities Detection in Multiplex Networks Using Optimization: Study Case—Employment in Mexico during the COVID-19 Pandemic
Complexity
2023-04-22 | Journal article
DOI: 10.1155/2023/9011738
Contributors: Edwin Montes-Orozco; Roman Anselmo Mora-Gutiérrez; Sergio Gerardo De-Los-Cobos-Silva;
Roberto Bernal-Jaquez; Eric Alfredo Rincón-García; Miguel Angel Gutiérrez-Andrade; Pedro Lara-Velázquez; Zhen Zhang

Model-Based Monitoring of Dengue Spreading
IEEE Access
2022 | Journal article
DOI: 10.1109/ACCESS.2022.3224472
Contributors: Alexander Schaum; Roberto Bernal-Jaquez; G. Sanchez-Gonzalez.

Modeling the spreading of dengue using a mixed population model. 
IFAC-PAPERS ON LINE. Revista Indizada.
DOI: 10.1016/j.ifacol.2022.09.158 .
Contributors: Alexander Schaum, Roberto Bernal Jaquez, C. Torres, G. Sánchez-González.

Data-assimilation and state estimation for contact-based spreading processes using the ensemble kalman filter: Application to COVID-19
Chaos, Solitons & Fractals
2022-04 | Journal article
DOI: 10.1016/j.chaos.2022.111887
Contributors: A. Schaum; R. Bernal-Jaquez; L. Alarcon Ramos

Classroom Friendly Method to Calculate Character Tables for Finite Groups
Journal of Chemical Education
2020 | Journal article
DOI: 10.1021/ACS.JCHEMED.0C00018
WOSUID: WOS:000551412700032
Contributors: Ho, Minhhuy; Alday Toledo, Leon Francisco; Bernal-Jaquez, Roberto

Selection Schemes Analysis in Genetic Algorithms for the Maximum Influence Problem
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
2020 | Book
DOI: 10.1007/978-3-030-60884-2_16
EID:
2-s2.0-85092636472
Part of ISSN: 16113349 03029743
Contributors: García-Nájera, A.; Zapotecas-Martínez, S.; Bernal-Jaquez, R.

Spreading Control in Two-Layer Multiplex Networks
Entropy
2020-10-15 | Journal article
DOI: 10.3390/e22101157
Contributors: Roberto Bernal Jaquez; Luis Angel Alarcón Ramos; Alexander Schaum.

Output-Feedback Control of Virus Spreading in Complex Networks With Quarantine
Frontiers in Applied Mathematics and Statistics
2018 | Journal article
DOI: 10.3389/fams.2018.00034
EID:
2-s2.0-85092762429
Part of ISSN: 22974687
Contributors: Alarcón-Ramos, L.A.; Bernal Jaquez, R.; Schaum, A.

Solution of the Nonlinear Schrödinger Equation with Defocusing Strength Nonlinearities Through the Laplace–Adomian Decomposition Method
International Journal of Applied and Computational Mathematics
2017 | Journal article
DOI: 10.1007/s40819-017-0325-5
EID:
2-s2.0-85050817379
Part of ISSN: 21995796 23495103
Contributors: González-Gaxiola, O.; Franco, P.; Bernal-Jaquez, R.

Backstepping Control for the Schrödinger Equation with an Arbitrary Potential in a Confined Space
Mathematical Problems in Engineering
2018-07-19 | Journal article
DOI: 10.1155/2018/1826783
Contributors: Pedro Franco; A. Schaum; Roberto Bernal Jaquez

Output-Feedback Control for Discrete-Time Spreading Models in Complex Networks
Entropy
2018-03 | Journal article
DOI: 10.3390/e20030204
Contributors: Alarcón-Ramos, L.A.; Schaum;  A.Bernal Jaquez, R.

Applying Adomian Decomposition Method to Solve Burgess Equation with a Non-linear Source
International Journal of Applied and Computational Mathematics
2017 | Journal article
DOI: 10.1007/s40819-015-0100-4
EID:
2-s2.0-85044615472
Part of ISSN: 21995796 23495103
Contributors: González-Gaxiola, O.; Bernal-Jaquez, R.

Empirical analysis of bifurcations in the full weights space of a two-neuron DTRNN
Neurocomputing
2017 | Journal article
DOI: 10.1016/J.NEUCOM.2017.01.027
WOSUID: WOS:000397356700033
Contributors: Cervantes-Ojeda, J.; Gomez-Fuentes, M.; Bernal-Jaquez, R.

Solution of the Nonlinear Kompaneets Equation Through the Laplace-Adomian Decomposition Method
International Journal of Applied and Computational Mathematics
2017 | Journal article
DOI: 10.1007/s40819-016-0144-0
EID:
2-s2.0-85065173689
Part of ISSN: 21995796 23495103
Contributors: González-Gaxiola, O.; Ruiz de Chávez, J.; Bernal-Jaquez, R.

Estimating the state probability distribution for epidemic spreading in complex networks
Applied Mathematics and Computation
2016 | Journal article
DOI: 10.1016/j.amc.2016.06.037
EID:
2-s2.0-84978819087
Part of ISSN: 00963003
Contributors: Schaum, A.; Bernal Jaquez, R.

Message survival and decision dynamics in a class of reactive complex systems subject to external fields
Physica A: Statistical Mechanics and Its Applications
2014 | Journal article
DOI: 10.1016/J.PHYSA.2014.03.024
WOSUID: WOS:000337854200035
Contributors: Rodriguez Lucatero, C.; Schaum, A.; Alarcon Ramos, L.; Bernal-Jaquez, R.

Stability analysis for virus spreading in complex networks with quarantine and non-homogeneous transition rates
Journal of Physics: Conference Series
2014 | Journal article
DOI: 10.1088/1742-6596/490/1/012011
WOSUID: WOS:000335909300011
Contributors: Alarcon-Ramos, L. A.; Schaum, A.; Rodriguez Lucatero, C.; Bernal Jaquez, R.

The molecular and electronic structure of poly-[2,7-(benzo[2,1;3,4-b']dithiophene)-alt-2,2'-(3,3'-didodecyl-5,5'-bithiophenyl)] (PBTT): A periodic DFT approach
Chemical Physics Letters
2014 | Journal article
DOI: 10.1016/J.CPLETT.2014.05.047
WOSUID: WOS:000338417400011
Contributors: Ramirez-Solis, A.; Bernal-Jaquez, R.; Zicovich-Wilson, C. M.

Non-Hermitian Hydrogen atom
Journal of Mathematical Chemistry
2013 | Journal article
DOI: 10.1007/S10910-013-0194-Z
WOSUID: WOS:000322902800003
Contributors: Romero, Juan M.; Gonzalez-Gaxiola, O.; Bernal-Jaquez, R.

The black-scholes equation and certain quantum hamiltonians
International Journal of Pure and Applied Mathematics
2011 | Journal article
EID:
2-s2.0-79952318242
Part of ISSN: 13118080
Contributors: Romero, J.M.; González-Gaxiola, O.; De Chávez, J.R.; Bernal-Jaquez, R.

VIRUS AND WARNING SPREAD IN DYNAMICAL NETWORKS
Advances in Complex Systems
2011 | Journal article
DOI: 10.1142/S0219525911003074
WOSUID: WOS:000292163000003
Contributors: Rodriguez Lucatero, Carlos; Bernal Jaquez, Roberto

IS IT POSSIBLE TO RELATE MOND WITH HORAVA GRAVITY?
Modern Physics Letters A
2010 | Journal article
DOI: 10.1142/S0217732310033396
WOSUID: WOS:000281733800004
Contributors: Romero, Juan M.; Bernal-Jaquez, R.; Gonzalez-Gaxiola, O.

Periodic density functional theory studies of Li-doped polythiophene: Dependence of electronic and structural properties on dopant concentration
The Journal of Chemical Physics
2009 | Journal article
DOI: 10.1063/1.3109079
WOSUID: WOS:000266885200074
Contributors: Ramirez-Solis, A.; Kirtman, B.; Bernal-Jaquez, R.; Zicovich-Wilson, C. M.

Periodic density functional theory calculations for Na-doped quasi-one-dimensional polyacetylene chains
The Journal of Physical Chemistry C
2008 | Journal article
DOI: 10.1021/JP077426L
WOSUID: WOS:000256920000054
Contributors: Ramirez-Solis, A.; Kirtman, B.; Bernal-Jaquez, R.; Zicovich-Wilson, C. M.

Algebraic local vibrational spectroscopic description of formaldehyde
Journal of Molecular Spectroscopy
2006 | Journal article
DOI: 10.1016/j.jms.2005.11.008
EID:
2-s2.0-32144434559
Part of ISSN: 00222852 1096083X
Contributors: Bernal, R.; Lemus, R.

Second harmonic generation from centrosymmetric thin films by a focused beam with arbitrary transverse structure
Physical Review B - Condensed Matter and Materials Physics
2004 | Journal article
DOI: 10.1103/PhysRevB.70.125420
EID:
2-s2.0-19744382196
Part of ISSN: 01631829
Contributors: Bernal, R.; Maytorena, J.A.

Connection of the vibron model with the modified Pöschl-Teller potential in configuration space
Chemical Physics
2002 | Journal article
DOI: 10.1016/S0301-0104(02)00630-4
EID:
2-s2.0-0037108082
Part of ISSN: 03010104
Contributors: Lemus, R.; Bernal, R.

Memorias de Congreso

• A. Schaum, L. Alarcon-Ramos, R. Bernal, C. Rodriguez Lucatero, J. Alvarez. Continuous-time Markov-Chain-based control for SIS epidemics in complex networks. Proceedings of the 2014 International Conference on Circuits, Systems and Control.

• L. A. Alarcón-Ramos, A. Schaum, C. Rodríguez Lucatero and R. Bernal Jaquez. Stability analysis for virus spreading in complex networks with quarantine and non-homogeneous transition rates. Journal of Physics: Conference Series 490 (2014) 012011 doi:10.1088/1742-6596/490/1/012011

• MARKOV PROCESS BASED SATURATED OUTPUT-FEEDBACK CONTROL DESIGN FOR VIRUS EXTINCTION IN COMPLEX NETWORKS, A. Schaum, L. Alarcon Ramos, R. Bernal Jaquez , C. Rodriguez Lucatero, MEMORIAS DEL PRIMER CONGRESO INTERNACIONAL DE ROBÓTICA Y COMPUTACIÓN CIRC 2013, Vol. , Pag.74-79, Memorias de congresos