Base-controlled mechanical systems and geometric phases

DOI10.1016/j.geomphys.2007.11.009zbMath1138.70009arXiv0706.1545OpenAlexW2047372739MaRDI QIDQ2479320

Alejandro Cabrera

Publication date: 26 March 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1545

zbMATH Keywords

non-holonomic constraintreconstruction phasetime-dependent non-integrable systems

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) 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)

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Control of locomotion systems and dynamics in relative periodic orbits

Cites Work

• A generalized Montgomery phase formula for rotating self-deforming bodies
• Nonholonomic mechanical systems with symmetry
• Lagrangian reduction by stages
• Reduction theory and the Lagrange–Routh equations
• Reduction, symmetry, and phases in mechanics
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