EEMCS-AM-MIA

I am a Lecturer and Post-Doc working on Delay Equations arising from Neural Field Models in Neuroscience. I use Functional, Spectral and Non-Linear Analysis to investigate the qualitative behaviour of different variants of these models.

I am also interested in recent developments in the field of (Artificial) Neural Networks and how they are related to Dynamical Systems Theory and Mathematical Neuroscience.

Expertise

  • Computer Science

    • Models
    • Neural Network
  • Mathematics

    • Calculus
    • Hopf Bifurcation
    • Transmission Delay
    • Push-Forward
    • Spectral Property
  • Physics

    • Model

Organisations

Publications

2024

Embeddings between Barron spaces with higher-order activation functions (2024)Applied and Computational Harmonic Analysis, 73. Article 101691. Heeringa, T. J., Spek, L., Schwenninger, F. L. & Brune, C.https://doi.org/10.1016/j.acha.2024.101691Hopf Bifurcations of Two Population Neural Fields on the Sphere with Diffusion and Distributed Delays (2024)SIAM journal on applied dynamical systems, 23(3), 1909-1945. Spek, L., van Gils, S. A., Kuznetsov, Y. A. & Polner, M.https://doi.org/10.1137/23M1554011

2023

A Joint Data- and Model-Driven Approach Simulating the Behaviour of a Walkalong Glider (2023)[Working paper › Working paper]. Cambridge University Press. Alblas, D., van den Bosch, M., Feigl, Z., Klomp, L. J., Rottschäfer, V., Schwenninger, F., Spek, L., Weedage, L. & Zeijlemaker, S.https://doi.org/10.33774/miir-2023-p957pPeriodic Center Manifolds for DDEs in the Light of Suns and Stars (2023)Journal of dynamics and differential equations (E-pub ahead of print/First online). Lentjes, B., Spek, L., Bosschaert, M. M. & Kuznetsov, Y. A.https://doi.org/10.1007/s10884-023-10289-9Embeddings between Barron spaces with higher order activation functions (2023)[Working paper › Preprint]. Heeringa, T. J., Spek, L., Schwenninger, F. & Brune, C.https://doi.org/10.48550/arXiv.2305.15839Periodic Normal Forms for Bifurcations of Limit Cycles in DDEs (2023)[Working paper › Preprint]. Lentjes, B., Spek, L., Bosschaert, M. M. & Kuznetsov, Y. A.Analysis of Dynamics of Neural Fields and Neural Networks (2023)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. Spek, L.https://doi.org/10.3990/1.9789036554824

2022

Bifurcations of Neural Fields on the Sphere (2022)[Working paper › Preprint]. Spek, L., Gils, S. A. v., Kuznetsov, Y. A. & Polner, M.Duality for Neural Networks through Reproducing Kernel Banach Spaces (2022)[Working paper › Preprint]. Spek, L., Heeringa, T. J., Schwenninger, F. L. & Brune, C.https://doi.org/10.48550/arXiv.2211.05020Periodic Center Manifolds and Normal Forms for DDEs in the Light of Suns and Stars (2022)[Working paper › Preprint]. Lentjes, B., Spek, L., Bosschaert, M. M. & Kuznetsov, Y. A.

Research profiles

Address

University of Twente

Zilverling (building no. 11), room 2067
Hallenweg 19
7522 NH Enschede
Netherlands

Navigate to location

University of Twente

Zilverling (building no. 11), room 3006
Hallenweg 19
7522 NH Enschede
Netherlands

Navigate to location

Organisations

Scan the QR code or
Download vCard