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General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids - MaRDI portal

General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids (Q3544419)

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Language	Label	Description	Also known as
English	General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids	scientific article

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scholarly article

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General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids (English)

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David Martín de Diego

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Juan Carlos Marrero

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Journal of Mathematical Physics

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publication date

8 December 2008

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full work available at URL

https://arxiv.org/abs/0705.0278

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MaRDI profile type

MaRDI publication profile

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Nonholonomic reduction

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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.

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Nonholonomic mechanical systems with symmetry

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On almost-Poisson structures in nonholonomic mechanics: II. The time-dependent framework

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On almost-Poisson structures in nonholonomic mechanics

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Geometric control and numerical aspects of nonholonomic systems

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Mechanical control systems on Lie algebroids

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Jet methods in nonholonomic mechanics

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AV-differential geometry: Poisson and Jacobi structures

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Lie brackets on affine bundles

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Algebraic constructions in the category of Lie algebroids

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Lagrangian submanifolds and dynamics on Lie affgebroids

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Poisson reduction for nonholonomic mechanical systems with symmetry

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Mechanical systems with nonlinear constraints

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Non-holonomic Lagrangian systems in jet manifolds

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Lagrangian submanifolds and dynamics on Lie algebroids

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On the geometry of non-holonomic Lagrangian systems

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Affine connections and distributions with applications to nonholonomic mechanics

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Variational principles for constrained systems: Theory and experiment

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Reduction of constrained mechanical systems and stability of relative equilibria

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Lagrangian mechanics on Lie algebroids

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Lie algebroid structures and Lagrangian systems on affine bundles

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Lagrangian reduction by stages for non-holonomic systems in a Lie algebroid framework

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A Lie algebroid framework for non-holonomic systems

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A geometrical framework for the study of non-holonomic Lagrangian systems

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Lie algebroid structures on a class of affine bundles

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A geometrical framework for the study of non-holonomic Lagrangian systems: II

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Regularity aspects and Hamiltonization of non-holonomic systems

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Nonholonomic Noether theorem and reduction of symmetries

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On the Hamiltonian formulation of nonholonomic mechanical systems

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Geometric aspects of nonholonomic field theories

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Identifiers

zbMATH Open document ID

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10.1063/1.2776845

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3544419

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