Anholonomic frames in constrained dynamics
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Publication:3580094
DOI10.1080/14689360903360888zbMath1200.37056arXiv0909.4230OpenAlexW3099535351MaRDI QIDQ3580094
Publication date: 11 August 2010
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.4230
Variational methods for problems in mechanics (70G75) Geometric methods in ordinary differential equations (34A26) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)
Related Items (11)
Implicit Lagrange-Routh equations and Dirac reduction ⋮ Variational integrators for non-autonomous Lagrangian systems ⋮ Nonholonomic and constrained variational mechanics ⋮ Generalized variational calculus for continuous and discrete mechanical systems ⋮ Routh reduction and Cartan mechanics ⋮ The inverse problem for Lagrangian systems with certain non-conservative forces ⋮ Higher-order variational problems on Lie groups and optimal control applications ⋮ THE CARTAN FORM FOR CONSTRAINED LAGRANGIAN SYSTEMS AND THE NONHOLONOMIC NOETHER THEOREM ⋮ Cartan meets Chaplygin ⋮ Symmetry and conservation laws in non-holonomic mechanics ⋮ A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems
Cites Work
- Relative equilibria of Lagrangian systems with symmetry
- Nonholonomic Lagrangian systems on Lie algebroids
- Reduction of some classical non-holonomic systems with symmetry
- Equivalence of dynamics for nonholonomic systems with transverse constraints
- Nonholonomic versus vakonomic dynamics
- Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
- Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations
- Nonholonomic mechanical systems with symmetry
- Reduction and reconstruction aspects of second-order dynamical systems with symmetry
- Variational principles for constrained systems: Theory and experiment
- Reduction theory and the Lagrange–Routh equations
- Invariant Lagrangians, mechanical connections and the Lagrange–Poincaré equations
- Singular Lagrangian systems and variational constrained mechanics on Lie algebroids
- Routh’s procedure for non-Abelian symmetry groups
- On the geometry of generalized Chaplygin systems
- Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions
- A Lie algebroid framework for non-holonomic systems
- Geometric phases and robotic locomotion
- On the geometry of non-holonomic Lagrangian systems
- Quasivelocities and symmetries in non-holonomic systems
- Ricci-Calculus
- On Hamilton's principle for nonholonomic systems
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