A nonholonomic approach to isoparallel problems and some applications

DOI10.1080/14689360600734112zbMath1117.53033OpenAlexW2170737728MaRDI QIDQ3424247

Hernan Cendra, Sebastián J. Ferraro

Publication date: 15 February 2007

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360600734112

zbMATH Keywords

optimal controlgeodesicsprincipal fibre bundleselastic rolling ball

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Applications of global differential geometry to the sciences (53C80) Global Riemannian geometry, including pinching (53C20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Manifolds and measure-geometric topics (49Q99)

Related Items (1)

Lagrangian reduction of generalized nonholonomic systems

Cites Work

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• Locomotion of articulated bodies in a perfect fluid
• LOW REYNOLDS NUMBER SWIMMING IN TWO DIMENSIONS
• Discrete mechanics and variational integrators
• Geometry of self-propulsion at low Reynolds number
• Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction
• The Numerical Solution of the Biharmonic Equation by Conformal Mapping
• Geometric mechanics and the dynamics of asteroid pairs
• A generalization of Chetaev’s principle for a class of higher order nonholonomic constraints

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