Poisson reduction for nonholonomic mechanical systems with symmetry
type: Item
instance of: scholarly article
title: Poisson reduction for nonholonomic mechanical systems with symmetry
zbMATH Open document ID: 1120.37314
DOI: 10.1016/S0034-4877(98)80007-4
author: Wang Sang Koon
author: J. E. Marsden
published in: Reports on Mathematical Physics
publication date: 2001-11-21T00:00:00Z
Mathematics Subject Classification ID: 37J60
Mathematics Subject Classification ID: 37J15
Mathematics Subject Classification ID: 53D20
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 70H33
Mathematics Subject Classification ID: 70H45
Mathematics Subject Classification ID: 70Q05
zbMATH DE Number: 1293237
zbMATH Keywords: nonholonomic mechanics
zbMATH Keywords: symmetry
zbMATH Keywords: mechanics on Poisson manifolds
zbMATH Keywords: nonholonomic symplectic and Lagrangian reduction
zbMATH Keywords: momentum equation
zbMATH Keywords: reduced Hamiltonian equations
zbMATH Keywords: stability theory
zbMATH Keywords: control theory
MaRDI profile type: Publication
cites work: Q4174811
cites work: Nonholonomic reduction
cites work: Nonholonomic mechanical systems with symmetry
cites work: Q4303968
cites work: Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction
cites work: The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems
cites work: Stability and drift of underwater vehicle dynamics: mechanical systems with rigid motion symmetry
cites work: Q5594352
cites work: Reduction, symmetry, and phases in mechanics
cites work: Q3751065
cites work: Lagrangian reduction and the double spherical pendulum
cites work: Q4273448
cites work: Stability of relative equilibria. I: The reduced energy-momentum method
cites work: On the Hamiltonian formulation of nonholonomic mechanical systems
cites work: The energy-momentum method for the stability of non-holonomic systems
full work available at URL: s0034-4877(98)80007-4
OpenAlex ID: W1979806876
description: scientific article; zbMATH DE number 1293237