Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …
Learning anisotropic interaction rules from individual trajectories in a heterogeneous cellular population
Interacting particle system (IPS) models have proven to be highly successful for describing
the spatial movement of organisms. However, it is challenging to infer the interaction rules …
the spatial movement of organisms. However, it is challenging to infer the interaction rules …
An improved version of the Hughes model for pedestrian flow
Roger Hughes proposed a macroscopic model for pedestrian dynamics, in which individuals
seek to minimize their travel time but try to avoid regions of high density. One of the basic …
seek to minimize their travel time but try to avoid regions of high density. One of the basic …
Random feature models for learning interacting dynamical systems
Particle dynamics and multi-agent systems provide accurate dynamical models for studying
and forecasting the behaviour of complex interacting systems. They often take the form of a …
and forecasting the behaviour of complex interacting systems. They often take the form of a …
An anisotropic interaction model with collision avoidance
C Totzeck - arxiv preprint arxiv:1912.04234, 2019 - arxiv.org
In this article an anisotropic interaction model avoiding collisions is proposed. Starting point
is a general isotropic interacting particle system, as used for swarming or follower-leader …
is a general isotropic interacting particle system, as used for swarming or follower-leader …
Self-organization on Riemannian manifolds
RC Fetecau, B Zhang - arxiv preprint arxiv:1802.06089, 2018 - arxiv.org
We consider an aggregation model that consists of an active transport equation for the
macroscopic population density, where the velocity has a nonlocal functional dependence …
macroscopic population density, where the velocity has a nonlocal functional dependence …
[HTML][HTML] First-order aggregation models and zero inertia limits
We consider a first-order aggregation model in both discrete and continuum formulations
and show rigorously how it can be obtained as zero inertia limits of second-order models. In …
and show rigorously how it can be obtained as zero inertia limits of second-order models. In …
An anisotropic interaction model for simulating fingerprints
Evidence suggests that both the interaction of so-called Merkel cells and the epidermal
stress distribution play an important role in the formation of fingerprint patterns during …
stress distribution play an important role in the formation of fingerprint patterns during …
From continuum mechanics to SPH particle systems and back: Systematic derivation and convergence
JHM Evers, IA Zisis, BJ van der Linden… - ZAMM‐Journal of …, 2018 - Wiley Online Library
In this paper, we derive from the principle of least action the equation of motion for a
continuous medium with regularized density field in the context of measures. The eventual …
continuous medium with regularized density field in the context of measures. The eventual …
From individual behaviour to an evaluation of the collective evolution of crowds along footbridges
This paper proposes a crowd dynamic macroscopic model grounded on microscopic
phenomenological observations which are upscaled by means of a formal mathematical …
phenomenological observations which are upscaled by means of a formal mathematical …