On Dirac structures admitting a variational approach


Journal article


Oscar Cosserat, C. Laurent-Gengoux, A. Kotov, L. Ryvkin, V. Salnikov
Mathematics and Mechanics of Complex Systems, 2021

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APA   Click to copy
Cosserat, O., Laurent-Gengoux, C., Kotov, A., Ryvkin, L., & Salnikov, V. (2021). On Dirac structures admitting a variational approach. Mathematics and Mechanics of Complex Systems.


Chicago/Turabian   Click to copy
Cosserat, Oscar, C. Laurent-Gengoux, A. Kotov, L. Ryvkin, and V. Salnikov. “On Dirac Structures Admitting a Variational Approach.” Mathematics and Mechanics of Complex Systems (2021).


MLA   Click to copy
Cosserat, Oscar, et al. “On Dirac Structures Admitting a Variational Approach.” Mathematics and Mechanics of Complex Systems, 2021.


BibTeX   Click to copy

@article{oscar2021a,
  title = {On Dirac structures admitting a variational approach},
  year = {2021},
  journal = {Mathematics and Mechanics of Complex Systems},
  author = {Cosserat, Oscar and Laurent-Gengoux, C. and Kotov, A. and Ryvkin, L. and Salnikov, V.}
}

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.





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