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physics.soc-ph2024
Stability of heterogeneous linear and nonlinear car-following models
Matthias Ehrhardt, Antoine Tordeux
Stop-and-go waves in road traffic are complex collective phenomena with significant implications for traffic engineering, safety and the environment. Despite decades of research, u…
math.DS2024
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Julia Ackermann, Matthias Ehrhardt, Thomas Kruse +1
This study revisits a recently proposed symmetric port-Hamiltonian single-file model in one dimension. The uniform streaming solutions are stable in the deterministic model. Howeve…