399 citations · 1.1k across the 26 of their papers we have counts for
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A new model for self-organized dynamics and its flocking behavior
Sebastien Motsch, Eitan Tadmor
We introduce a model for self-organized dynamics which, we argue, addresses several drawbacks of the celebrated Cucker-Smale (C-S) model. The proposed model does not only take into…
A macroscopic model for a system of swarming agents using curvature control
Pierre Degond, Sébastien Motsch
In this paper, we study the macroscopic limit of a new model of collective displacement. The model, called PTWA, is a combination of the Vicsek alignment model and the Persistent T…
Numerical simulations of a non-conservative hyperbolic system with geometric constraints describing swarming behavior
Sebastien Motsch, Laurent Navoret
The Vicsek model is a very popular individual based model which describes collective behavior among animal societies. A macroscopic version of the Vicsek model has been derived fro…
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model
Patrick Cattiaux, Djalil Chafai, Sébastien Motsch
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of…