Tensor products of Dirac structures and interconnection in Lagrangian mechanics
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Publication:2514327
DOI10.3934/jgm.2014.6.67zbMath1304.70016arXiv1105.0105OpenAlexW3101308390MaRDI QIDQ2514327
Henry O. Jacobs, Hiroaki Yoshimura
Publication date: 3 February 2015
Published in: Journal of Geometric Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.0105
Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03)
Related Items (7)
A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems. ⋮ A factorization approach to the extension theory of the tensor product of nonnegative linear relations ⋮ Variational integrators for interconnected Lagrange-Dirac systems ⋮ Infinite dimensional Lagrange-Dirac mechanics with boundary conditions ⋮ Interconnection of Lagrange–Dirac systems through nonstandard interaction structures ⋮ New insights in the geometry and interconnection of port-Hamiltonian systems ⋮ Variational discretizations of gauge field theories using group-equivariant interpolation
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