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Perfil investigador
Esp
Dr. Luis Franco Pérez

Associate Professor
Departament of Applied Mathematics and Systems

Division of Natural Sciences and Engineering


Level 1
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences



Cuajimalpa Campus

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Academic Group



Sustainable Development Goals

• 11 Sustainable Cities and Communities


Research interests

• Central configurations in the n-body problem
• Stability of solutions in the n-body problem
• Qualitative analysis in dynamical systems
• Analysis of ordinary differential equations of integer and fractional order
• Dynamics in epidemiology

Profile

Professor Luis Franco Pérez is a National System of Researchers, Level I member. He holds a Ph.D. in Mathematics (2010).

His areas of interest are Celestial Mechanics, central configurations and stability of solutions in the n-body problem; Dynamical Systems: qualitative analysis and modeling; and Ordinary Differential Equations: qualitative theory in systems of integer and fractional order.



Information provided by the academic staff

Research interests

• Central configurations in the n-body problem
• Stability of solutions in the n-body problem
• Qualitative analysis in dynamical systems
• Analysis of ordinary differential equations of integer and fractional order
• Dynamics in epidemiology

Academic Work

On the following pages you can consult the research work:



Other sites of interest

Consult the research work on other websites:




Academic Group

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Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
OABurgos-García, J., Bengochea, A., Franco-Pérez, L. (2022).The spatial Hill four-body problem I—An exploration of basic invariant sets. Communications in Nonlinear Science and Numerical Simulation,108
Fernández-Anaya, G., Quezada-Téllez, L.A., Franco-Pérez, L. (2021).Stability analysis of distributed order of Hilfer nonlinear systems. Mathematical Methods in the Applied Sciences,44(5) 4137-4155
Polo-Labarrios, M.A., Franco-Pérez, L., Quezada-Téllez, L.A. and 1 more (...) (2020).Local dynamic analysis in boiling water reactor. Annals of Nuclear Energy,137
Franco-Pérez, L., Fernández-Anaya, G., Quezada-Téllez, L.A. (2020).On stability of nonlinear nonautonomous discrete fractional Caputo systems. Journal of Mathematical Analysis and Applications,487(2)
Polo-Labarrios, M.A., Quezada-García, S., Espinosa-Paredes, G. and 2 more (...) (2020).Novel numerical solution to the fractional neutron point kinetic equation in nuclear reactor dynamics. Annals of Nuclear Energy,137
OAGarcía-Perciante, A.L., Franco-Pérez, L., Méndez, A.R. (2019).Bulk viscosity in 2D relativistic uids: The effects of temperature and modifications to the Rayleigh-Brillouin spectrum. Journal of Physics: Conference Series,1239(1)
Quezada-Téllez, L.A., Franco-Pérez, L. (2018).A fractional logistic approach for economic growth. International Journal of Modern Physics C,29(12) | 8 |
OALuis, F.-P., Ernesto, P.-C. (2016).The symmetric elliptic and hyperbolic restricted 3-body problem on the unit circle. Journal of Geometry and Physics,9928-41
OAFranco-Pérez, L., Gidea, M., Levi, M. and 1 more (...) (2016).Stability interchanges in a curved Sitnikov problem. Nonlinearity,29(3) 1056-1079

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Courses offered

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
23O
Calculo IILicenciatura
2
23P
Proyecto Terminal ILicenciatura
3
23P
Proyecto Terminal ILicenciatura
4
23P
Proyecto Terminal ILicenciatura
5
23P
Proyecto Terminal IILicenciatura
6
23P
Proyecto Terminal IIILicenciatura
7
23P
Proyecto Terminal IIILicenciatura
8
23I
Introducción al CalculoLicenciatura
9
23I
Proyecto Terminal IILicenciatura
10
22O
Proyecto Terminal ILicenciatura
11
22O
Ecuaciones Diferenciales Ordinarias IILicenciatura
12
22O
Proyecto Terminal ILicenciatura
13
22O
Proyecto Terminal IIILicenciatura
14
22P
Álgebra Superior IILicenciatura
15
22P
Proyecto Terminal IILicenciatura
16
22P
Proyecto Terminal IIILicenciatura
17
22I
Sistemas DinámicosLicenciatura
18
22I
Introducción al CalculoLicenciatura
19
22I
Proyecto Terminal IILicenciatura
20
21O
Ecuaciones Diferenciales Ordinarias IILicenciatura
21
21P
Calculo IIILicenciatura
22
21P
Calculo ILicenciatura
23
21P
Proyecto Terminal ILicenciatura
24
21P
Proyecto Terminal IIILicenciatura
25
21I
Introducción al CalculoLicenciatura
26
21I
Proyecto Terminal IILicenciatura
27
21I
Trabajo de Investigación VIPosgrado
28
20O
Ecuaciones Diferenciales Ordinarias IILicenciatura
29
20O
Proyecto Terminal ILicenciatura
30
20O
Proyecto Terminal IILicenciatura
31
20O
Trabajo de Investigación VPosgrado
32
20P
Sistemas DinámicosLicenciatura
33
20P
Calculo ILicenciatura
34
20P
Proyecto Terminal ILicenciatura
35
20P
Trabajo de Investigación IVPosgrado
36
20I
Introducción al CalculoLicenciatura
37
20I
Trabajo de Investigación IIIPosgrado
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Universidad Autónoma Metropolitana, 2024.