Bergische Universität Wuppertal Fachbereich Mathematik und Naturwissenschaften Applied and Computational Mathematics (ACM)

Team Research Publications Teaching

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Summary

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References

• M. Ehrhardt and A. Tordeux, Stability of heterogeneous linear and nonlinear car-following models, Franklin Open, Volume 9, December 2024, 100181. DOI: 10.1016/j.fraope.2024.100181.
• J. Ackermann, M. Ehrhardt, T. Kruse and A. Tordeux, Stabilisation of Stochastic Single-File Dynamics using Port-Hamiltonian Systems, IFAC-PapersOnLine, Volume 58, Issue 17, 2024, Pages 145-150. DOI: 10.1016/j.ifacol.2024.10.128.
• M. Ehrhardt, T. Kruse and A. Tordeux, The Collective Dynamics of a Stochastic Port-Hamiltonian Self-Driven Agent Model in One Dimension, ESAIM: Mathematical Modelling and Numerical Analysis Volume 58 (2024), 515-544. DOI: 10.1051/m2an/2024004.
  Erratum: in the middle of Remark 2.1. it should read: (i.e., p_n (t) = (p_n+1(t) + p_n-1(t))/2)
• J. Ackermann, M. Ehrhardt, T. Kruse and A. Tordeux, Modelling car-following dynamics with stochastic input-state-output port-Hamiltonian systems, Proceedings of Traffic & Granular Flows 2024.

Talks related to the Project

• August 2024, M. Ehrhardt, Talk Stabilisation of Stochastic Single-File Dynamics using Port-Hamiltonian Systems at 26th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2024)
• December 2024, M. Tordeux, Talk , Traffic & Granular Flows 2024.