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Perfil investigador
Esp
Dr. Roberto Bernal Jaquez

Professor
Departament of Applied Mathematics and Systems

Division of Natural Sciences and Engineering


Level 2
Member of the National System of Researchers
(SNII)

Interdisciplinary



Cuajimalpa Campus

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Sustainable Development Goals

• 3 Good Health and Well-Being

• 4 Quality Education

• 10 Reduced Inequalities


Research interests

• Dynamics and propagation in Complex Networks
• Machine Learning in Chemistry and Physics
• Spread models of infectious diseases
• Computational Physics
• Algebraic Models in Mathematical-Physics

Profile

Dr. Roberto Bernal Jaquez is a Physicist from the National Autonomous University of Mexico and received a Doctorate in Science (Physics) from the Autonomous University of the State of Morelos, carrying out his doctoral thesis at the Institute of Nuclear Sciences of the UNAM under the direction of Dr. Renato Lemus . Dr. Bernal collaborated as a postdoctoral researcher in the Theoretical Chemistry group of the University of Turin under the direction of Dr. Roberto Dovesi for one year. Doctor Bernal Jaquez has been involved with software development since he was an undergraduate student and participated in several industrial as well as scientific software development projects. He also completed Master's studies in Computer Science at the Arturo Rosenblueth Foundation.

Dr. Bernal has taught at the Autonomous University of the State of Morelos, the Faculty of Engineering of the UNAM where he held a chair in Electromagnetism and was a professor in what were - now divisions - the Faculties of Chemistry and Civil Engineering of the Universities of Guanajuato. He currently works as a professor at the Universidad Autónoma Metropolitana unit Cuajimalpa where he was Head of the Department of Applied Mathematics and Systems in the period 2011-2015. Currently, he is a Full Professor C for an indefinite period. To date, he has directed 2 Doctoral theses, 2 Master's degrees and 12 terminal projects for the Bachelor's Degrees in Applied Mathematics and Computer Engineering. He is currently directing two master's theses and one doctorate in the Postgraduate Course in Natural Sciences and Engineering at UAM Cuajimalpa and several terminal projects in the Computer Science and Applied Mathematics degrees. At the UAM he has taught more than 120 courses since 2009 and has participated in the adaptation of the study plans for the Bachelor of Computing.

Dr. Bernal's research has focused on various areas such as the Study of Dynamics in Complex Networks, Mathematical Physics, Theoretical Chemical-Physics, Applied Mathematics and Computing and recently he has undertaken the study of molecular properties using Machine Learning. He currently has 29 works published in international indexed journals and 3 book chapters.

Dr. Bernal belongs to the National System of Researchers level 1 since 2010 and has been distinguished as a professor with a desirable profile from 2011 to date.



Information provided by the academic staff

Research interests

• Dynamics and propagation in Complex Networks
• Machine Learning in Chemistry and Physics
• Spread models of infectious diseases
• Computational Physics
• Algebraic Models in Mathematical-Physics

Academic Work

On the following pages you can consult the research work:



Other sites of interest

Consult the research work on other websites:






Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
OABernal-Jaquez, R., Ridout-Buhl, E., Montoya, E. and 2 more (...) (2026).MSI: A Mahalanobis-Based Molecular Similarity Index for High-Dimensional Embeddings. Molecular Informatics ,45(9)
OAFarrera-Megchun, A., Padilla-Longoria, P., Santos, G.J.E. and 2 more (...) (2025).Explosive synchronization driven by repulsive higher-order interactions in coupled neurons. Chaos, Solitons and Fractals,196
OAFarrera-Megchun, A., Padilla-Longoria, P., Espinal-Enríquez, J. and 2 more (...) (2025).Pacemaker position and network topology affect the synchronization patterns in coupled Huber–Braun neurons. International Journal of Non-Linear Mechanics,178
OAMegchun, A.F., Padilla-Longoria, P., Espinal-Enríquez, J. and 2 more (...) (2025).New insights into multistability and complex resonances driven by subthreshold periodic signals in a neuronal model. Cognitive Neurodynamics,19(1)
OAMontes-Orozco, E., Mora-Gutiérrez, R.-A., Bernal-Jaquez, R. and 1 more (...) (2025).Analysis of Violence Patterns in Mexico: A Complex Temporal Networks Approach. Complexity,2025(1) 16
Farrera-Megchun, A., Padilla-Longoria, P., Santos, G.J.E. and 2 more (...) (2024).Neuron configuration enhances the synchronization dynamics in ring networks with heterogeneous firing patterns. Chaos, Solitons and Fractals,187
OALopez-Chavira, M.A., Aguirre-Guerrero, D., Marcelín-Jiménez, R. and 2 more (...) (2024).A distributed geometric rewiring model. Scientific Reports,14(1)
OAMontes-Orozco, E., Mora-Gutiérrez, R.A., De-Los-Cobos-Silva, S.G. and 4 more (...) (2023).Communities Detection in Multiplex Networks Using Optimization: Study Case - Employment in Mexico during the COVID-19 Pandemic. Complexity,20233
OAAguirre-Guerrero, D., Bernal-Jaquez, R. (2023).A Methodology for the Analysis of Collaboration Networks with Higher-Order Interactions. Mathematics,11(10)
OASchaum, A., Bernal Jaquez, R., Torres-Sosa, C. and 1 more (...) (2022).Modeling the spreading of dengue using a mixed population model. IFAC-PapersOnLine,55(20) 582-5873
OASchaum, A., Bernal-Jaquez, R., Alarcon Ramos, L. (2022).Data-assimilation and state estimation for contact-based spreading processes using the ensemble kalman filter: Application to COVID-19. Chaos, Solitons and Fractals,1573
OASchaum, A., Bernal-Jaquez, R., Sanchez-Gonzalez, G. (2022).Model-Based Monitoring of Dengue Spreading. IEEE Access,10126892-1268983
García-Nájera, A., Zapotecas-Martínez, S., Bernal-Jaquez, R. (2020).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),12468211-222
Hô, M., Alday Toledo, L.F., Bernal-Jaquez, R. (2020).Classroom Friendly Method to Calculate Character Tables for Finite Groups. Journal of Chemical Education,97(7) 1915-1921
OAJaquez, R.B., Ramos, L.A.A., Schaum, A. (2020).Spreading control in two-layer multiplex networks. Entropy,22(10) 1-16

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
26P
Proyecto de Investigación Doctoral IIPosgrado
2
26P
Proyecto de Investigación Doctoral IIPosgrado
3
26P
Proyecto Terminal ILicenciatura
4
26P
Fundamentos de Ingeniería de SoftwareLicenciatura
5
26I
Proyecto de Investigación Doctoral IPosgrado
6
26I
Teoría de Autómatas y LenguajesLicenciatura
7
26I
Seminario Doctoral IPosgrado
8
26I
Proyecto de Ingeniería de Software IILicenciatura
9
26I
Proyecto de Investigación Doctoral IPosgrado
10
26I
Proyecto Terminal IIILicenciatura
11
26I
Proyecto Terminal IIILicenciatura
12
26I
Seminario Doctoral IPosgrado
13
25O
Taller de AlgoritmosLicenciatura
14
25O
Proyecto de Investigación Doctoral XIIPosgrado
15
25O
Proyecto Terminal IILicenciatura
16
25O
Proyecto Terminal IILicenciatura
17
25P
Proyecto de Investigación Doctoral XIPosgrado
18
25P
TraductoresLicenciatura
19
25P
Seminario IIIPosgrado
20
25P
Proyecto Terminal ILicenciatura
21
25P
Proyecto Terminal ILicenciatura
22
25P
Seminario IIIPosgrado
23
25P
Seminario IIIPosgrado
24
25I
Proyecto de Investigación Doctoral XPosgrado
25
25I
Proyecto de Investigación IIIPosgrado
26
25I
Proyecto de Investigación IIIPosgrado
27
25I
Proyecto de Investigación IIIPosgrado
28
25I
Teoría de Autómatas y LenguajesLicenciatura
29
24O
Modelos ComputacionalesPosgrado
30
24O
Tópicos Especiales de Sistemas ComputacionalesLicenciatura
31
24O
Taller de Literacidad AcadémicaLicenciatura
32
24O
Aprendizaje AutomáticoLicenciatura
33
24O
Proyecto de Investigación Doctoral IXPosgrado
34
24O
Proyecto de Investigación IIPosgrado
35
24O
Seminario IIPosgrado
36
24O
Temas Selectos de Matemáticas Aplicadas ILicenciatura
37
24P
Seminario Doctoral IVPosgrado
38
24P
Proyecto de Investigación Doctoral VIIIPosgrado
39
24P
Proyecto de Investigación IPosgrado
40
24P
Proyecto de Investigación IPosgrado
41
24P
Proyecto de Investigación IPosgrado
42
24P
Taller de AlgoritmosLicenciatura
43
24P
Temas Selectos IIPosgrado
44
24I
Seminario IPosgrado
45
24I
Proyecto de Ingeniería de Software ILicenciatura
46
24I
Proyecto de Investigación Doctoral VIIPosgrado
47
24I
Seminario IPosgrado
48
24I
Seminario IPosgrado
49
24I
Temas Selectos IPosgrado
50
23O
Fundamentos de Ingeniería de SoftwareLicenciatura
51
23O
Seminario Doctoral IIIPosgrado
52
23O
Proyecto Terminal IIILicenciatura
53
23O
Desarrollo de Software a Gran EscalaLicenciatura
54
23O
Modelos ComputacionalesPosgrado
55
23O
Proyecto de Investigación Doctoral VIPosgrado
56
23O
Proyecto Terminal IILicenciatura
57
23P
Proyecto de Investigación Doctoral VPosgrado
58
23P
Proyecto Terminal IIILicenciatura
59
23P
Temas Selectos IIIPosgrado
60
23P
TraductoresLicenciatura
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Universidad Autónoma Metropolitana, 2026.