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Investigación

Con tres sexenios de investigación reconocidos, actualmente participa en el proyecto de investigación MTM2017-85054-C2-2-P, titulado Modelado, análisis y control en dinámica de poblaciones, cuyo investigador principal es el profesor Daniel Franco Leis (UNED).

Programa de Doctorado en Tecnologías Industriales (RD 2011)

Tesis doctorales defendidas:

1.      Título: Métodos matemáticos para caracterización de defectos en materiales compuestos mediante termografía activa,

Autor: D. Pablo Venegas Bosom.

Directores: Juan Perán Mazón (UNED), Rubén Usamentiaga Fernández (Universidad de Oviedo), Idurre Sáez de Ocáriz Granja (Centro de Tecnologías Aeronáuticas, CTA)

Fecha: 13 de mayo de 2019

Calificación: sobresaliente cum laude

2.      Título: On the stabilization and global stability of discrete-time dynamical systems

Autor: D. Juan Francisco Segura Salinas

Directores: Daniel Franco Leis (UNED), Juan Perán Mazón (UNED)

Fecha: 27 de julio de 2020

Calificación: sobresaliente cum laude

Artículos (JCR)

  1. D. Franco, C. Guiver, H. Logemann, J. Peran, On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition, Electron. J. Qual. Theory Differ. Equ. (2021). http://dx.doi.org/10.14232/ejqtde.2020.1.76
  2. P. Venegas, R. Usamentiaga, J. Perán, I.Sáez de Ocáriz, Quaternion Processing Techniques for Color Synthesized NDT Thermography, Applied Sciences, Appl. Sci. (2021), 11(2), 790; https://doi.org/10.3390/app11020790
  3. D. Franco, J. Perán and J. Segura. Stability for one-dimensional discrete dynamical systems revisited, Discrete and Continuous Dynamical Systems–B 25.2, 635-650 (2020) doi10.3934/dcdsb.2019258.
  4. P. Venegas, J. Perán, R. Usamentiaga, I. Sáez de Ocáriz, NDT Inspection of Aeronautical Components by Projected Thermal Diffusivity Analysis. Accepted for publication in Quantitative InfraRed Thermography Journal, (2019), 1-16, https://doi.org/10.1080/17686733.2019.1665298
  5. Franco, D., Guiver, C., Logemann, H., Perán, J., Boundedness, persistence and stability for classes of forced difference equations arising in population ecology, Journal of Mathematical Biology 79(2019),1029-1076 https://doi.org/10.1007/s00285-019-01388-7
  6. Franco, D., Perán, J., Segura, J., Global stability of discrete dynamical systems via exponent analysis: applications to harvesting population models Electron. J. Qual. Theory Differ. Equ.  101(2018), 1-22. https://doi.org/10.14232/ejqtde.2018.1.101
  7. Daniel Franco, Juan Perán, Juan Segura, Effect of harvest timing on the dynamics of the Ricker–Seno model, Mathematical Biosciences (2018)
    https://doi.org/10.1016/j.mbs.2018.10.002
  8. Pablo Venegas, Juan Perán, Rubén Usamentiaga, Idurre Sáez de Ocáriz, Advances in RGB Projection Technique for Thermographic NDT: Channels Selection Criteria and Visualization Improvement, International Journal of Thermophysics, 39 (2018), https://doi.org/10.1007/s10765-018-2417-9
  9. Pablo Venegas, Juan Perán, Rubén Usamentiaga, Idurre Sáez de Ocáriz, Projected thermal diffusivity analysis for thermographic nondestructive inspections, International Journal of Thermal Sciences, 124 (2018), 251-262, https://doi.org/10.1016/j.ijthermalsci.2017.10.010 ; https://authors.elsevier.com/a/1W30V4bL21~5jd
  10. Daniel Franco, Chris Guiver, Hartmut Logemann, Juan Perán, Semi-global persistence and stability for a class of forced discrete-time population models, In Physica D: Nonlinear Phenomena, 360 (2017), 46-61
  11. Franco, Daniel; Logemann, Hartmut ; Perán, Juan ; Segura, Juan . Dynamics of the discrete Seno population model: combined effects of harvest timing and intensity on population stability. Appl. Math. Model. 48 (2017), 885--898.
  12. J. Perán, D. Franco, Global convergence of the second order Ricker equation, Applied Mathematics Letters, 47 (2015), 47-53, https://doi.org/10.1016/j.aml.2015.02.022
  13. Hartmut Logemann; Franco, Daniel ; Peran, Juan. Global stability of an age-structured population model. Systems & Control Letters 65 (2014), 30–36.
  14. Franco, Daniel ; Peran, Juan. Stabilization of population dynamics via threshold harvesting strategies. Ecological Complexity 14 (2013) 85–94.
  15. Franco, Daniel ; Peran, Juan . Unconditional convergence of difference equations. Boundary Value Problems (2013), 2013:63, 14 pp.
  16. Franco, Daniel ; Infante, Gennaro ; Perán, Juan. A new criterion for the existence of multiple solutions in cones. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, (2012), 1043-1050.
  17. Bajo, Ignacio ; Franco, Daniel ; Perán, Juan . Dynamics of a rational system of difference equations in the plane. Adv. Difference Equ. (2011), 17 pp.
  18. O'Regan, Donal ; Perán, Juan . Fixed points for better admissible multifunctions on proximity spaces. J. Math. Anal. Appl. 380 (2011), no. 2, 882—887.
  19. O'Regan, Perán, Juan . One dimensional f Laplacian functional equations. J. Math. Anal. Appl. 371 (2010), no. 1, 177--183.
  20. O'Regan, Donal ; Perán, Juan . Fixed points of compact Kakutani maps with antipodal boundary conditions. Proc. Amer. Math. Soc. 134 (2006), no. 3, 825--830.
  21. Franco, Daniel ; O'Regan, Donal ; Perán, Juan . Fourth-order problems with nonlinear boundary conditions. J. Comput. Appl. Math. 174 (2005), no. 2, 315--327.
  22. Franco, Daniel ; O'Regan, Donal ; Perán, Juan . The antipodal mapping theorem and difference equations in Banach spaces. J. Difference Equ. Appl. 11 (2005), no. 12, 1037--1047.
  23. Franco, Daniel ; O'Regan, Donal ; Perán, Juan . Upper and lower solution theory for first and second order difference equations. Dynam. Systems Appl. 13 (2004), no. 2, 273--282.
  24. Perán, Juan . Locally compact multivector extensions. J. Math. Anal. Appl. 287 (2003), no. 2, 455--472.