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Pré-Publication, Document De Travail Année : 2023

Body-attitude coordination in arbitrary dimension

Résumé

We consider a system of self-propelled agents interacting through body attitude coordination in arbitrary dimension n ≥ 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 ≥ 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.
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Dates et versions

hal-03423952 , version 1 (10-11-2021)

Identifiants

  • HAL Id : hal-03423952 , version 1

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P Degond, A Diez, A Frouvelle. Body-attitude coordination in arbitrary dimension. 2023. ⟨hal-03423952⟩
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