Reduced dynamics of the non-holonomic whipple bicycle
type: Item
instance of: scholarly article
title: Reduced dynamics of the non-holonomic whipple bicycle
zbMATH Open document ID: 1446.70035
author: Mathieu Porez
author: Johan Mauny
author: Frederic Boyer
published in: Journal of Nonlinear Science
publication date: 2018-07-20T00:00:00Z
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 37J60
zbMATH DE Number: 6909130
zbMATH Keywords: non-holonomic systems
zbMATH Keywords: principal fiber bundle
zbMATH Keywords: bicycle dynamics
zbMATH Keywords: reduction
MaRDI profile type: Publication
full work available at URL: s00332-017-9434-x
OpenAlex ID: W2781456419
cites work: Bicycle dynamics and control: adapted bicycles for education and research
cites work: Hands-free circular motions of a benchmark bicycle
cites work: Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray
cites work: Nonholonomic mechanical systems with symmetry
cites work: Q3412309
cites work: Q2762109
cites work: On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
cites work: Geometric phases and robotic locomotion
cites work: Control of a bicycle using virtual holonomic constraints
cites work: Robot Dynamics Algorithms
cites work: A Bicycle Can Be Self-Stable Without Gyroscopic or Caster Effects
cites work: Stability of an automatically controlled bicycle moving on a horizontal plane
cites work: Q5482996
cites work: Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review
cites work: Q5792342
DOI: 10.1007/S00332-017-9434-X
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description: scientific article; zbMATH DE number 6909130