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Body-attitude Coordination in Arbitrary Dimension by Degond, Pierre; Diez, Antoine; Frouvelle, Amic is a scholarly article available to read on EtoBox.

What is Body-attitude Coordination in Arbitrary Dimension about?

We consider a system of self-propelled agents interacting through body attitude coordination in arbitrary dimension $n \geq 3$. We derive the formal kinetic and hydrodynamic limits for this model. Previous literature was restricted to dimension $n=3$ only and relied on parametrizations of the rotation group that are only valid in dimension $3$. To extend the result to arbitrary dimensions $n \geq 3$, we develop a different strategy based on Lie group representations and the Weyl integration formula. These results open the way to the study of the resulting hydrodynamic model (the "Self-Organized Hydrodynamics for Body orientation (SOHB)'') in arbitrary dimensions.

Author

Degond, Pierre; Diez, Antoine; Frouvelle, Amic

Published

2021

Language

EN