<p>Dr. Roberto Bernal</p> Dr. Roberto Bernal JaquezDEPARTAMENTO DE MATEMATICAS APLICADAS Y SISTEMAS
Resumen Curricular
<ul><li>Doctor en Ciencias (Física), Universidad Autónoma de Estado de Morelos/Instituto de Ciencias Nucleares UNAM.</li><li>Fisico UNAM</li><li>Miembro del SNI nivel I</li><li>Perfil deseable PRODEP</li></ul><p> </p>
Área de interés/experiencia en investigación
<ul> <li> <pre> <span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Redes Dinámicas Complejas. Propagación y Control de información en Redes Complejas. </span></span></pre> </li> <li> <pre> <span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Aprendizaje Automático. Aplicaciones en Química y Física. Aplicaciones en la predicción de propiedades moleculares. Aplicaciones en modelosde propagación de enfermedades infecciosas: Dengue, Covid.</span></span></pre> </li> <li> <pre> <span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">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.</span></span></pre> </li> <li> <pre> <span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">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.</span></span></pre> </li> <li> <pre> <span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Construcción de compiladores.</span></span></pre> </li> </ul>
Publicaciones en Revistas
<pre> <span style="font-size:11px"><span style="font-family:Arial,Helvetica,sans-serif"><strong>A Methodology for the Analysis of Collaboration Networks with Higher-Order Interactions</strong> Mathematics 2023-05-12 | Journal article DOI: 10.3390/math11102265 Contributors: Daniela Aguirre-Guerrero; <strong>Roberto Bernal-Jaquez</strong> <strong>Communities Detection in Multiplex Networks Using Optimization: Study Case—Employment in Mexico during the COVID-19 Pandemic</strong> 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; <strong>Roberto Bernal-Jaquez</strong>; Eric Alfredo Rincón-García; Miguel Angel Gutiérrez-Andrade; Pedro Lara-Velázquez; Zhen Zhang <strong>Model-Based Monitoring of Dengue Spreading</strong> IEEE Access 2022 | Journal article DOI: 10.1109/ACCESS.2022.3224472 Contributors: Alexander Schaum; <strong>Roberto Bernal-Jaquez</strong>; G. Sanchez-Gonzalez. <strong>Modeling the spreading of dengue using a mixed population model. </strong> 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. <strong>Data-assimilation and state estimation for contact-based spreading processes using the ensemble kalman filter: Application to COVID-19</strong> Chaos, Solitons & Fractals 2022-04 | Journal article DOI: 10.1016/j.chaos.2022.111887 Contributors: A. Schaum; <strong>R. Bernal-Jaquez</strong>; L. Alarcon Ramos <strong>Classroom Friendly Method to Calculate Character Tables for Finite Groups</strong> Journal of Chemical Education 2020 | Journal article DOI: 10.1021/ACS.JCHEMED.0C00018 WOSUID: WOS:000551412700032 Contributors: Ho, Minhhuy; Alday Toledo, Leon Francisco; <strong>Bernal-Jaquez, Roberto</strong> <strong>Selection Schemes Analysis in Genetic Algorithms for the Maximum Influence Problem</strong> 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.; <strong>Bernal-Jaquez, R.</strong> <strong>Spreading Control in Two-Layer Multiplex Networks</strong> Entropy 2020-10-15 | Journal article DOI: 10.3390/e22101157 Contributors: <strong>Roberto Bernal Jaquez</strong>; Luis Angel Alarcón Ramos; Alexander Schaum. <strong>Output-Feedback Control of Virus Spreading in Complex Networks With Quarantine</strong> 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.; <strong>Bernal Jaquez, R</strong>.; Schaum, A. <strong>Solution of the Nonlinear Schrödinger Equation with Defocusing Strength Nonlinearities Through the Laplace–Adomian Decomposition Method</strong> 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.; <strong>Bernal-Jaquez, R.</strong> <strong>Backstepping Control for the Schrödinger Equation with an Arbitrary Potential in a Confined Space</strong> Mathematical Problems in Engineering 2018-07-19 | Journal article DOI: 10.1155/2018/1826783 Contributors: Pedro Franco; A. Schaum; <strong>Roberto Bernal Jaquez</strong> <strong>Output-Feedback Control for Discrete-Time Spreading Models in Complex Networks</strong> Entropy 2018-03 | Journal article DOI: 10.3390/e20030204 <strong>Contributors: Alarcón-Ramos, L.A.; Schaum; </strong>A.Bernal Jaquez, R. <strong>Applying Adomian Decomposition Method to Solve Burgess Equation with a Non-linear Source</strong> 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.; <strong>Bernal-Jaquez, R.</strong> <strong>Empirical analysis of bifurcations in the full weights space of a two-neuron DTRNN</strong> Neurocomputing 2017 | Journal article DOI: 10.1016/J.NEUCOM.2017.01.027 WOSUID: WOS:000397356700033 Contributors: Cervantes-Ojeda, J.; Gomez-Fuentes, M.; <strong>Bernal-Jaquez, R.</strong> <strong>Solution of the Nonlinear Kompaneets Equation Through the Laplace-Adomian Decomposition Method</strong> 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.; <strong>Bernal-Jaquez, R.</strong> <strong>Estimating the state probability distribution for epidemic spreading in complex networks</strong> 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.; <strong>Bernal Jaquez, R.</strong> <strong>Message survival and decision dynamics in a class of reactive complex systems subject to external fields</strong> 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.; <strong>Bernal-Jaquez, R.</strong> <strong>Stability analysis for virus spreading in complex networks with quarantine and non-homogeneous transition rates</strong> 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.; <strong>Bernal Jaquez, R.</strong> <strong>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</strong> Chemical Physics Letters 2014 | Journal article DOI: 10.1016/J.CPLETT.2014.05.047 WOSUID: WOS:000338417400011 Contributors: Ramirez-Solis, A.; <strong>Bernal-Jaquez, R</strong>.; Zicovich-Wilson, C. M. <strong>Non-Hermitian Hydrogen atom</strong> Journal of Mathematical Chemistry 2013 | Journal article DOI: 10.1007/S10910-013-0194-Z WOSUID: WOS:000322902800003 Contributors: Romero, Juan M.; Gonzalez-Gaxiola, O.; <strong>Bernal-Jaquez, R.</strong> <strong>The black-scholes equation and certain quantum hamiltonians</strong> 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.; <strong>Bernal-Jaquez, R.</strong> <strong>VIRUS AND WARNING SPREAD IN DYNAMICAL NETWORKS</strong> Advances in Complex Systems 2011 | Journal article DOI: 10.1142/S0219525911003074 WOSUID: WOS:000292163000003 Contributors: Rodriguez Lucatero, Carlos; <strong>Bernal Jaquez, Roberto</strong> <strong>IS IT POSSIBLE TO RELATE MOND WITH HORAVA GRAVITY?</strong> Modern Physics Letters A 2010 | Journal article DOI: 10.1142/S0217732310033396 WOSUID: WOS:000281733800004 Contributors: Romero, Juan M.; <strong>Bernal-Jaquez, R.</strong>; Gonzalez-Gaxiola, O. <strong>Periodic density functional theory studies of Li-doped polythiophene: Dependence of electronic and structural properties on dopant concentration</strong> The Journal of Chemical Physics 2009 | Journal article DOI: 10.1063/1.3109079 WOSUID: WOS:000266885200074 Contributors: Ramirez-Solis, A.; Kirtman, B.; <strong>Bernal-Jaquez, R</strong>.; Zicovich-Wilson, C. M. <strong>Periodic density functional theory calculations for Na-doped quasi-one-dimensional polyacetylene chains</strong> The Journal of Physical Chemistry C 2008 | Journal article DOI: 10.1021/JP077426L WOSUID: WOS:000256920000054 Contributors: Ramirez-Solis, A.; Kirtman, B.; <strong>Bernal-Jaquez, R</strong>.; Zicovich-Wilson, C. M. <strong>Algebraic local vibrational spectroscopic description of formaldehyde</strong> 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: <strong>Bernal, R.</strong>; Lemus, R. <strong>Second harmonic generation from centrosymmetric thin films by a focused beam with arbitrary transverse structure</strong> 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:<strong> Bernal, R</strong>.; Maytorena, J.A. <strong>Connection of the vibron model with the modified Pöschl-Teller potential in configuration space</strong> 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.; <strong>Bernal, R.</strong></span></span></pre>
Memorias de Congreso
<ul> <li> <pre> <span style="font-size:12px"><span style="font-family:Arial,Helvetica,sans-serif">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.</span></span></pre> </li> <li> <pre> <span style="font-size:12px"><span style="font-family:Arial,Helvetica,sans-serif">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</span></span></pre> </li> <li> <pre> <span style="font-size:12px"><span style="font-family:Arial,Helvetica,sans-serif">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</span></span></pre> </li> </ul>
Capítulos en Libros
Libros
Formación de Recursos Humanos
<p><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Doctorado.</span></span></p> <ul> <li><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Luis Ángel Alarcón Ramos.</strong> Dinámica y control en redes complejas. Posgrado en Ciencias Naturales e Ingeniería, UAM-Cuajimalpa. graduado. Graduado 2023.</span></span></li> <li><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Pedro Franco Cejín. </strong>Dinámica y control en estados cuanticos. El caso de los osciladores de Morse. Posgrado en Ciencias Naturales e Ingeniería, UAM-Cuajimalpa. Graduado 2018.<br /> <br /> ESTUDIANTES DE DOCTORADO:</span></span></li> <li><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Agustin Farrera Megchun.</strong> Cursando el Doctorado en el Posgrado en Ciencias Naturales e Ingeniería, UAM-Cuajimalpa. Fecha probable de graduación 2024.</span></span></li> </ul> <p><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Maestría</span></span></p> <ul> <li><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif"><strong>León Francisco Alday Toledo.</strong> Aplicaciones del aprendizaje de máquina en la fisicoquímica. Posgrado en Ciencias Naturales e Ingeniería, UAM-Cuajimalpa. Graduado 2023.</span></span></li> <li><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Filiberto Ramírez Ramírez. </strong>Estudio experimental de ondas elásticas dentro del plano en sistemas periódicos bidimensionales. 2015<br /> <br /> ESTUDIANTES DE MAESTRÍA ACTUALES:</span></span></li> <li><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Roberto Carlos Romero Huerta. </strong>Posgrado en Ciencias Naturales e Ingeniería, UAM-Cuajimalpa.</span></span></li> <li><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Luis Guillermo Cruz Estrada</strong>. Posgrado en Ciencias Naturales e Ingeniería, UAM-Cuajimalpa.</span></span></li> </ul> <p> </p> <p><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Licenciatura</span></span></p>
Otra Información de Relevancia Académica
<p><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Últimos cursos impartidos</span></span></p> <p><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Traductores y Compiladores. Se produjeron Traductores para los Lenguajes UR y Pantera.</span></span></p> <p><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Proyecto Terminal II : Construcción de una plataforma computacional para la enseñanza de las ciencias. Ley de Fraday, Propagación de Ondas Electromagnéticas, Movimiento Circular, Ley cero de la Termodinámica.</span></span></p> <p><span style="font-size:14px"><span style="font-family:Arial,Helvetica,sans-serif">Fundamentos de Ingeniería de Software I</span></span></p>