Academic Work

• Google scholar
• ResearchGate
• Scopus

Sites of interest

• Personal Web Site
• Academic record on campus

Sustainable Development Goals

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:

• Google scholar

See publications

• ResearchGate

See publications

• Scopus

See publications

Other sites of interest

Consult the research work on other websites:

• Personal website

See information

• Academic record on campus

See information

Some examples of publications

Select the bibliographic reference to consult each publication:

Open Access	References	UN SDGs
OA	Luis, F.-P., Sergio, H.-L., Elsa, B.-J. (2025).Analysis of saddle-node bifurcations in an interpersonal relationship model. Mathematical and Computer Modelling of Dynamical Systems,31(1)
	Franco-Pérez, L., Núñez-López, M. (2025).Saddle-Node Bifurcation Leading to Survival Mosquitoes. International Journal of Bifurcation and Chaos,35(4)	\| 3 \|
OA	Burgos-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., 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
	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)
OA	Quezada-Tellez, L.A., Franco-Perez, L., Fernandez-Anaya, G. (2020).Controlling Chaos for a Fractional-Order Discrete System. IEEE Open Journal of Circuits and Systems,1263-269

Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.	Trim.	Course Name	Level
1	26I	Calculo III	Licenciatura
2	26I	Proyecto Terminal II	Licenciatura
3	26I	Análisis I	Licenciatura
4	25O	Estadística I	Licenciatura
5	25O	Proyecto Terminal II	Licenciatura
6	25P	Proyecto Terminal I	Licenciatura
7	25P	Proyecto Terminal I	Licenciatura
8	25I	Proyecto Terminal III	Licenciatura
9	25I	Proyecto Terminal III	Licenciatura
10	24O	Trabajo de Especialidad III	Posgrado
11	24O	Proyecto Terminal III	Licenciatura
12	24P	Calculo I	Licenciatura
13	24P	Proyecto Terminal II	Licenciatura
14	24P	Proyecto Terminal III	Licenciatura
15	24P	Sistemas Dinámicos	Licenciatura
16	24P	Temas Selectos de la Matemática Contemporánea II	Licenciatura
17	24P	Trabajo de Especialidad II	Posgrado
18	24I	Seminario de Especialidad	Posgrado
19	24I	Trabajo de Especialidad I	Posgrado
20	24I	Proyecto Terminal II	Licenciatura
21	24I	Proyecto Terminal II	Licenciatura
22	24I	Ecuaciones Diferenciales Ordinarias No Lineales II	Licenciatura
23	24I	Proyecto Terminal II	Licenciatura
24	23O	Calculo II	Licenciatura
25	23P	Proyecto Terminal I	Licenciatura
26	23P	Proyecto Terminal I	Licenciatura
27	23P	Proyecto Terminal I	Licenciatura
28	23P	Proyecto Terminal II	Licenciatura
29	23P	Proyecto Terminal III	Licenciatura
30	23P	Proyecto Terminal III	Licenciatura
31	23I	Proyecto Terminal II	Licenciatura
32	23I	Introducción al Calculo	Licenciatura
33	22O	Ecuaciones Diferenciales Ordinarias II	Licenciatura
34	22O	Proyecto Terminal I	Licenciatura
35	22O	Proyecto Terminal I	Licenciatura
36	22O	Proyecto Terminal III	Licenciatura
37	22P	Álgebra Superior II	Licenciatura
38	22P	Proyecto Terminal II	Licenciatura
39	22P	Proyecto Terminal III	Licenciatura
40	22I	Introducción al Calculo	Licenciatura
41	22I	Proyecto Terminal II	Licenciatura
42	22I	Sistemas Dinámicos	Licenciatura

Information provided by the Dirección de Sistemas Escolares