A Lie algebroid framework for non-holonomic systems
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Publication:4654954
DOI10.1088/0305-4470/38/5/011zbMath1061.70008arXivmath/0410460OpenAlexW3102895026MaRDI QIDQ4654954
Publication date: 10 March 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410460
Symplectic geometry, contact geometry (53D99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)
Related Items (16)
Second-order constrained variational problems on Lie algebroids: applications to optimal control ⋮ Symmetries of second order differential equations on Lie algebroids ⋮ Sub-Lagrangians and sub-Hamiltonians on affine bundles ⋮ Reduction of Lagrangian mechanics on Lie algebroids ⋮ Euler-Lagrange-Herglotz equations on Lie algebroids ⋮ Symmetries of Hamiltonian systems on Lie algebroids ⋮ General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids ⋮ Unnamed Item ⋮ Discrete nonholonomic Lagrangian systems on Lie groupoids ⋮ GEOMETRIC HAMILTON–JACOBI THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS ⋮ Anholonomic frames in constrained dynamics ⋮ Vortex sheets and diffeomorphism groupoids ⋮ Mechanical structures on Lie algebroids ⋮ Nonlinear constraints in nonholonomic mechanics ⋮ A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS ⋮ Nonholonomic versus vakonomic dynamics on a Riemann–Cartan manifold
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