Rafael Martinez Vergara

Biography

I earned my Bachelor's degree in Mathematics from the University of Barcelona, where I studied from 2018 to 2022. I then continued my academic journey at the same institution, completing a Master's degree in Advanced Mathematics in July 2023. Currently, I am pursuing a PhD at the University of Barcelona, which I began in October 2024. My research is centered on Dynamical Systems, with a specific focus on the formation and characterization of Strange Nonchaotic Attractors.

Publications

• Martinez-Vergara, R., Tatjer, J.C. (2026). Nonsmooth Bifurcations in Families of One-Dimensional Piecewise-Linear Quasiperiodically Forced Maps. Qualitative Theory of Dynamical Systems. DOI: 10.1007/s12346-025-01438-0.
• Martinez, R. (2024). The Gromov-Hausdorff distance between compact metric spaces. Reports@SCM, Vol. 8. (num. 1), pag. 59-60. Link

Talks

• Martinez, R. (2025, December 18). Nonsmooth period-doubling bifurcations in a family of picewise-linear and quasiperiodically forced maps [Online Talk]. Shilnikov Workshop 2025, Annual International Conference on Dynamical Systems, Lobachevsky University of Nizhny Novgorod, Scientific and Educational Mathematics Center, Russia.
• Martinez, R. (2025, June 16). Non-smooth saddle-node bifurcations for a family of piecewise-linear and quasiperiodically forced maps [Talk]. NoLineal 2025, 14th edition of The International Conference on Nonlinear Mathematics and Phisics, University of Santiago de Compostela, Faculty of Mathematics, Santiago de Compostela, Spain.
• Martinez, R. (2025, March 19). Atractors estranys en models dinàmics [Talk]. MatesfestInfofest, Universitat de Barcelona, Facultat de Matemàtiques i Informàtica, Barcelona, Spain.
• Martinez, R. (2025, February 7). Sequence spaces for the radii polynomial method [Talk]. Chaotic Seminar, IMUB. Barcelona, Spain.
• Martinez, R. (2025, January 24). Existence of an SNA in a family of quasiperiodicaly forced maps [Poster]. RTNS. Alicante, Spain.
• Martinez, R. (2024, November 6). Strange non-Chaotic attractors in quasiperiodically forced maps [Talk]. SimBa. Barcelona, Spain.
• Martinez, R. (2023, October 6). A la distancia Gromow-Hausdorff entre espais compactes [Talk]. 1a Jornada SCM-TFM. Barcelona, Spain.