Zilverling

dr. L. Spek (Len)

Researcher
EEMCS-AM-MIA
Zilverling 2067
l.spek@utwente.nl
+31534897069
Business card

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

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University of Twente

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

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Organisations

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