A fiber bundle approach to the transpositional relations in nonholonomic mechanics
type: Item
instance of: scholarly article
title: A fiber bundle approach to the transpositional relations in nonholonomic mechanics
zbMATH Open document ID: 1251.70016
author: Jared M. Maruskin
author: Anthony M. Bloch
author: J. E. Marsden
author: Dmitry V. Zenkov
published in: Journal of Nonlinear Science
publication date: 2012-10-29T00:00:00Z
Mathematics Subject Classification ID: 70H45
zbMATH DE Number: 6100218
zbMATH Keywords: geometric mechanics
zbMATH Keywords: constrained dynamics
zbMATH Keywords: variational principles
Wikidata QID: Q57430910
MaRDI profile type: Publication
full work available at URL: s00332-012-9144-3
OpenAlex ID: W2162554835
cites work: Noncompact drift for relative equilibria and relative periodic orbits
cites work: 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.
cites work: Nonholonomic mechanical systems with symmetry
cites work: Quasivelocities and symmetries in non-holonomic systems
cites work: On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
cites work: Q2762109
cites work: Q5831973
cites work: Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions
cites work: Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach
cites work: A historical review on nonholomic mechanics
cites work: Q4003026
cites work: Q4002531
cites work: Q5465128
cites work: Equivalence of dynamics for nonholonomic systems with transverse constraints
cites work: The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation
cites work: Equivalence of the dynamics of nonholonomic and variational nonholonomic systems for certain initial data
cites work: The Weitzenböck connection and time reparameterization in nonholonomic mechanics
cites work: Some geometric aspects of variational calculus in constrained systems
cites work: Q4528914
cites work: Q5794480
cites work: On transpositional relations in mechanics
cites work: Reduction of some classical non-holonomic systems with symmetry
cites work: Q3967100
cites work: Dynamics of systems with nonintegrable constraints. II
cites work: Q3664477
cites work: Dynamics of systems with nonintegrable constraints. IV. Integral principles
cites work: Q5812743
cites work: Q4304888
cites work: Q4318503
cites work: Dynamical systems and geometric mechanics. An introduction
cites work: The Boltzmann-Hamel equations for the optimal control of mechanical systems with nonholonomic constraints
cites work: On the transpositional relations in analytical mechanics of nonholonomic systems
cites work: Q5657709
cites work: Analytical mechanics. A comprehensive treatise on the dynamics of constrained systems for engineers, physicists and mathematicians
cites work: On Hamilton's principle for nonholonomic systems
cites work: Q5808061
DOI: 10.1007/S00332-012-9144-3
description: scientific article; zbMATH DE number 6100218