Alejandro López-Nieto

Address
Room 448, Department of Mathematics National Taiwan University
No. 1, Sec. 4, Roosevelt Road
10617 Taipei, Taiwan
E-mail
alopez at ntu.edu.tw
(replace the "at" by a @)

Research interests

  • Dynamical systems
  • Delay differential equations
  • Global attractors
  • Mathematical biology
  • Bifurcation theory without and with parameters

About me

I'm currently a postdoctoral researcher at the National Taiwan University with Prof. Chun-Hsiung Hsia. Previously, I earned my Ph.D. at the Freie Universität Berlin under the supervision of Prof. Bernold Fiedler.
I'm interested in the mathematical structure behind dynamical phenomena. As such, my main area of expertise is dynamical systems with strong emphasis on the geometrical structure of evolution equations. A principle that guides my research is finding real world applications for the conclusions of mathematical analysis.

Preprints and Publications

A. López-Nieto:
Global Bifurcation of Periodic Solutions in Delay Equations with Symmetric Monotone Feedback.
arXiv:2002.01313v2 (2024), Preprint. (PDF)
A. López-Nieto, P. Lappicy, N. Vassena, H. Stuke, and J.-Y. Dai:
Hybrid Bifurcations and Stable Periodic Coexistence for Competing Predators.
arXiv:2310.19604 (2023), Preprint. (PDF)
A. López-Nieto:
Enharmonic motion: Towards the global dynamics of negative delayed feedback.
Dissertation Freie Universität Berlin (2023). (FUB repository)
B. Fiedler, A. López-Nieto, R. H. Rand, S. M. Sah, I. Schneider, and B. de Wolff:
Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators.
Journal of Differential Equations, 268, 5969-5995 (2020). (PDF)
A. López-Nieto
Heteroclinic connections in delay equations.
Master Thesis, Freie Universität Berlin (2017). (PDF)