Port-Hamiltonian systems (PHS) theory is a recent but already well-established modelling approach for non-linear physical systems. Some studies have shown lately that PHS frameworks are relevant for modelling and control of swarm and multi-agent systems. We identify in this contribution a general class of microscopic force-based pedestrian models that can be formulated as a port-Hamiltonian system. The pedestrian PHS has linear structure and dissipation components. Non-linear effects come from isotropic pedestrian interactions. Simulation results on a torus with disordered initial states show that the port-Hamiltonian pedestrian model can exhibit different types of dynamics. They range from relaxed speed models with no interaction, dynamical billiards, or crystallization dynamics to realistic pedestrian collective behaviors, including lane and strip formation for counter and crossing flow. The port-Hamiltonian framework is a natural multiscale description of pedestrian dynamics as the Hamiltonian turns out to be a generic order parameter that allows us to identify specific behaviours of the dynamics from a macroscopic viewpoint. Particular cases even enable through energy balance to determine the Hamiltonian behavior without requiring the tedious computation of the microscopic dynamics. Using PHS theory, we systematically identify a critical threshold value for the Hamiltonian, which relies only on exogenous input and can be physically interpreted.
The multi-fractal nature of pedestrian arrival times
Eindhoven University of Technology（埃因霍温理工大学）；ProRail BV（荷兰铁路基础设施公司）；University of Ferrara（费拉拉大学）；INFN Ferrara（意大利国家核物理研究所费拉拉分部）；CNR-IAC（意大利国家研究委员会应用控制研究所）
Avalanches of choice: how stranger-to-stranger interactions shape crowd dynamics
Eindhoven University of Technology（埃因霍温理工大学）；University of Ferrara（费拉拉大学）；INFN Ferrara（意大利国家核物理研究所费拉拉分部）；Consiglio Nazionale delle Ricerche - Istituto per le Applicazioni del Calcolo（意大利国家研究委员会计算应用研究所）
When legs and bodies synchronize: Two-level collective dynamics in dense crowds
Forschungszentrum Jülich, Institute for Advanced Simulation (IAS)（于利希研究中心，先进模拟研究所）；Inria Rennes and Universities of Rennes 1 and Rennes 2（法国国家信息与自动化研究所雷恩中心，雷恩第一大学和雷恩第二大学）；University of Wuppertal, Faculty of Architecture and Civil Engineering（伍珀塔尔大学，建筑与土木工程学院）；University of Wuppertal, Faculty of Mechanical Engineering and Safety Engineering（伍珀塔尔大学，机械与安全工程学院）
