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math.DGSep 1, 2021
10
citations (OpenAlex)
authors
  • Oscar Cosserat
  • Camille Laurent-Gengoux
  • Alexei Kotov
  • Leonid Ryvkin
  • Vladimir Salnikov
institutions
  • Centre National de la Recherche Scientifique
  • Institut Camille Jordan
  • Institut Élie Cartan de Lorraine
  • Laboratoire des Sciences de l'Ingénieur pour l'Environnement
  • La Rochelle Université
  • Lyon 1 Université
  • Université de Lorraine
  • University of Göttingen
  • University of Hradec Králové
arXiv abstractPDF
paper

On Dirac structures admitting a variational approach

arXiv:2109.00313 · doi:10.2140/memocs.2023.11.1

Abstract

We discuss the notion of basic cohomology for Dirac structures and, more generally, Lie algebroids. We then use this notion to characterize the obstruction to a variational formulation of Dirac dynamics.

References in corpus (1)

  • Symplectic Groupoids for Poisson Integrators

Cited by in corpus (1)

  • Learning port-Hamiltonian systems -- algorithms
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