Cubic polynomials on Lie groups: reduction of the Hamiltonian system
From MaRDI portal
Publication:3173020
DOI10.1088/1751-8113/44/35/355203zbMath1243.70015arXiv1102.2324OpenAlexW3102122265MaRDI QIDQ3173020
Lígia Abrunheiro, Jesús Clemente-Gallardo, Margarida Camarinha
Publication date: 10 October 2011
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.2324
Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Related Items
About simple variational splines from the Hamiltonian viewpoint ⋮ Optimal control of affine connection control systems from the point of view of Lie algebroids ⋮ High-order splines on Riemannian manifolds ⋮ Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles ⋮ Second order Lagrangian dynamics on double cross product groups ⋮ Rolling Maps and Nonlinear Data ⋮ Riemannian cubics close to geodesics at the boundaries