A practical application of the geometrical theory on fibered manifolds to an autonomous bicycle motion in mechanical system with nonholonomic constraints
type: Item
instance of: scholarly article
title: A practical application of the geometrical theory on fibered manifolds to an autonomous bicycle motion in mechanical system with nonholonomic constraints
zbMATH Open document ID: 1386.70031
author: Soufiane Haddout
published in: Journal of Geometry and Physics
publication date: 2017-12-20T00:00:00Z
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 37J60
Mathematics Subject Classification ID: 70H03
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 37N15
Mathematics Subject Classification ID: 00A69
Mathematics Subject Classification ID: 74P20
zbMATH DE Number: 6820410
zbMATH Keywords: autonomous bicycle
zbMATH Keywords: Lagrangian system
zbMATH Keywords: nonholonomic constraints
zbMATH Keywords: reduced equations of motion
zbMATH Keywords: Lagrange multipliers
MaRDI profile type: Publication
full work available at URL: j.geomphys.2017.10.008
OpenAlex ID: W2766271708
cites work: Q5657709
cites work: Q3118259
cites work: On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
cites work: Lagrangian systems with constraints: a geometric approach to the method of Lagrange multipliers
cites work: Nonholonomic Lagrangian systems on Lie algebroids
cites work: Non-holonomic Lagrangian systems in jet manifolds
cites work: Mechanical systems with nonlinear constraints
cites work: Jet methods in nonholonomic mechanics
cites work: Non-holonomic mechanics: a geometrical treatment of general coupled rolling motion
cites work: Mechanical systems with nonholonomic constraints
cites work: Higher-order mechanical systems with constraints.
cites work: The relativistic particle as a mechanical system with non-holonomic constraints
cites work: Nonholonomic variational systems
cites work: Theoretical mechanics
cites work: The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems
cites work: Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review
cites work: Q4209948
cites work: Q4943824
DOI: 10.1016/J.GEOMPHYS.2017.10.008
Recommended article: Q3417137
Recommended article: Q3645494
Recommended article: Q4943824
Recommended article: Q3647601
Recommended article: Nonholonomic systems and the geometry of constraints
Recommended article: Geometrization of nonholonomic mechanical systems and their solvability
Recommended article: A Geometric Approach to the Optimal Control of Nonholonomic Mechanical Systems
Recommended article: On the Geometry of Nonholonomic Dynamics
Recommended article: A geometrical framework for the study of non-holonomic Lagrangian systems
Recommended article: On geometrization of motion of some nonholonomic systems
description: scientific article; zbMATH DE number 6820410