Van Havermaet, Stef Simoens, Pieter Landgraf, Tim Khaluf, Yara
Shepherding, the task of guiding a herd of autonomous individuals in a desired direction, is an essential skill to herd animals, enable crowd control and rescue from danger. Equipping robots with the capability of shepherding would allow performing such tasks with increased efficiency and reduced labour costs. So far, only single-robot or centraliz...
Buttà, P Flandoli, F Ottobre, M Zegarlinski, B
We introduce and analyse a continuum model for an interacting particle system of Vicsek type. The model is given by a non-linear kinetic partial differential equation (PDE) describing the time-evolution of the density ft, in the single particle phase-space, of a collection of interacting particles confined to move on the one-dimensional torus. The ...
Blanchet, Adrien Degond, Pierre
Published in
Journal of Statistical Physics
We consider a finite number of particles characterised by their positions and velocities. At random times a randomly chosen particle, the follower, adopts the velocity of another particle, the leader. The follower chooses its leader according to the proximity rank of the latter with respect to the former. We study the limit of a system size going t...
Carrillo, JA Klar, A Roth, A
Xue, C Hwang, HJ Painter, KJ Erban, R
Mathematical models of bacterial populations are often written as systems of partial differential equations for the densities of bacteria and concentrations of extracellular (signal) chemicals. This approach has been employed since the seminal work of Keller and Segel in the 1970s (Keller and Segel, J. Theor. Biol. 30:235-248, 1971). The system has...
Gehring, Thomas (Universitaet Bamberg, F... Universitaet Bamberg, Bamberger Centrum ...
Germany
de Monte, Silvia d'Ovideo, F. Chaté, H. Mosekilde, Erik
Large populations of globally coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show that, for strong coupling, the collective dynamics can be described in terms of a few effective macroscopic degrees of freedom, whose deterministic equati...
de Monte, Silvia d'Ovideo, F. Chaté, H. Mosekilde, Erik
Large populations of globally coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show that, for strong coupling, the collective dynamics can be described in terms of a few effective macroscopic degrees of freedom, whose deterministic equati...
de Monte, Silvia d'Ovideo, F. Chaté, H. Mosekilde, Erik
Large populations of globally coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show that, for strong coupling, the collective dynamics can be described in terms of a few effective macroscopic degrees of freedom, whose deterministic equati...
de Monte, Silvia d'Ovideo, F. Chaté, H. Mosekilde, Erik
Large populations of globally coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show that, for strong coupling, the collective dynamics can be described in terms of a few effective macroscopic degrees of freedom, whose deterministic equati...