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math.DS2025
Structure-Preserving Coupling and Decoupling of Port-Hamiltonian Systems
Matthias Ehrhardt, Michael Günther, Daniel Ševčovič
The port-Hamiltonian framework is a structure-preserving modeling approach that preserves key physical properties such as energy conservation and dissipation. When subsystems are m…
math.DS2023
The Collective Dynamics of a Stochastic Port-Hamiltonian Self-Driven Agent Model in One Dimension
Matthias Ehrhardt, Thomas Kruse, Antoine Tordeux
The collective motion of self-driven agents is a phenomenon of great interest in interacting particle systems. In this paper, we develop and analyze a model of agent motion in one…