From behavioural analyses to models of collective motion in fish schools

U Lopez, J Gautrais, ID Couzin… - Interface …, 2012 - royalsocietypublishing.org
Fish schooling is a phenomenon of long-lasting interest in ethology and ecology, widely
spread across taxa and ecological contexts, and has attracted much interest from statistical …

[KNJIGA][B] Interacting multiagent systems: kinetic equations and Monte Carlo methods

L Pareschi, G Toscani - 2013 - books.google.com
The description of emerging collective phenomena and self-organization in systems
composed of large numbers of individuals has gained increasing interest from various …

Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review

R Eftimie - Journal of mathematical biology, 2012 - Springer
We briefly review hyperbolic and kinetic models for self-organized biological aggregations
and traffic-like movement. We begin with the simplest models described by an advection …

[KNJIGA][B] Classical and relativistic rational extended thermodynamics of gases

T Ruggeri, M Sugiyama - 2021 - Springer
The book aims to present the recent developments in Rational Extended Thermodynamics
(RET) of gases in both classical and relativistic cases. The RET theory is a …

ACMP: Allen-cahn message passing with attractive and repulsive forces for graph neural networks

Y Wang, K Yi, X Liu, YG Wang, S ** - The Eleventh International …, 2022 - openreview.net
Neural message passing is a basic feature extraction unit for graph-structured data
considering neighboring node features in network propagation from one layer to the next …

A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

SY Ha, JG Liu - 2009 - projecteuclid.org
We present a simple proof on the formation of flocking to the Cucker-Smale system based on
the explicit construction of a Lyapunov functional. Our results also provide a unified …

A new model for self-organized dynamics and its flocking behavior

S Motsch, E Tadmor - Journal of Statistical Physics, 2011 - Springer
We introduce a model for self-organized dynamics which, we argue, addresses several
drawbacks of the celebrated Cucker-Smale (CS) model. The proposed model does not only …

From particle to kinetic and hydrodynamic descriptions of flocking

SY Ha, E Tadmor - arxiv preprint arxiv:0806.2182, 2008 - arxiv.org
We discuss the Cucker-Smale's (CS) particle model for flocking, deriving precise conditions
for flocking to occur when pairwise interactions are sufficiently strong long range. We then …

Particle, kinetic, and hydrodynamic models of swarming

JA Carrillo, M Fornasier, G Toscani, F Vecil - Mathematical modeling of …, 2010 - Springer
We review the state-of-the-art in the modelling of the aggregation and collective behavior of
interacting agents of similar size and body type, typically called swarming. Starting with …

Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis

E Bertin, M Droz, G Grégoire - Journal of Physics A: Mathematical …, 2009 - iopscience.iop.org
Considering a gas of self-propelled particles with binary interactions, we derive the
hydrodynamic equations governing the density and velocity fields from the microscopic …