On Dirac structures admitting a variational approach
DOI10.2140/memocs.2023.11.1arXiv2109.00313OpenAlexW3198225459MaRDI QIDQ6082643
Oscar Cosserat, Vladimir Salnikov, Alexei Kotov, Leonid Ryvkin, Camille Laurent-Gengoux
Publication date: 30 November 2023
Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.00313
Poisson manifolds; Poisson groupoids and algebroids (53D17) Constrained dynamics, Dirac's theory of constraints (70H45) Other variational principles in mechanics (70H30) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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