Geometric mechanics of many-body systems
type: Item
instance of: scholarly article
title: Geometric mechanics of many-body systems
zbMATH Open document ID: 1022.70005
DOI: 10.1016/S0377-0427(01)00400-9
author: Toshihiro Iwai
published in: Journal of Computational and Applied Mathematics
publication date: 2002-06-24T00:00:00Z
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 70F25
zbMATH DE Number: 1758439
zbMATH Keywords: nonholonomic constraint
zbMATH Keywords: principal fiber bundle
zbMATH Keywords: group \(\text{SO}(3)\)
zbMATH Keywords: vibrational energy functional
zbMATH Keywords: maximum principle
zbMATH Keywords: optimal Hamiltonian system
zbMATH Keywords: Lagrange's equations of motions
zbMATH Keywords: many-body systems
zbMATH Keywords: jointed cylinders
zbMATH Keywords: twist-free condition
zbMATH Keywords: total angular momentum
zbMATH Keywords: somersault
MaRDI profile type: Publication
cites work: Quantal phase factors accompanying adiabatic changes
cites work: Q3334547
cites work: A gauge theory for the quantum planar three-body problem
cites work: Q3802300
cites work: A geometric setting for the quantum planar n-body system, and a U(n−1) basis for the internal states
cites work: The mechanics and control for multi-particle systems
cites work: Classical and quantum mechanics of jointed rigid bodies with vanishing total angular momentum
cites work: Q4261276
cites work: Q4220873
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: Q3860881
cites work: Q3976422
cites work: Q4273450
cites work: Q4234998
cites work: Reduction of quantum systems on Riemannian manifolds with symmetry and application to molecular mechanics
cites work: Q3350918
description: scientific article; zbMATH DE number 1758439