On the Hadamard-Hamel problem and the dynamics of wheeled vehicles

DOI10.1134/S1560354715060106zbMath1367.70034OpenAlexW2298659514MaRDI QIDQ283365

Alexander A. Kilin, Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 13 May 2016

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354715060106

zbMATH Keywords

reductionequations of motionnonholonomic constraintwheeled vehicle

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Nonholonomic systems related to the dynamics of a system of particles (70F25) Dynamics of multibody systems (70E55) Nonholonomic dynamical systems (37J60)

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Cites Work

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• Qualitative analysis of the dynamics of a wheeled vehicle
• On detachment conditions in the problem on the motion of a rigid body on a rough plane
• On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
• Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
• Generalized Chaplygin's transformation and explicit integration of a system with a spherical support
• The dynamics of an articulated \(n\)-trailer vehicle
• Symmetries and reduction in nonholonomic mechanics
• The problem of realizing constraints in dynamics
• 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.
• On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
• Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
• Control theory from the geometric viewpoint.
• A historical review on nonholomic mechanics
• Analysis of an oscillatory Painlevé-Klein apparatus with a nonholonomic constraint
• New effects in dynamics of rattlebacks
• Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds
• Rolling of a homogeneous ball over a dynamically asymmetric sphere
• Motion control of mobile wheeled robots
• Dynamics equations of a mobile robot provided with caster wheel
• Hamiltonicity and integrability of the Suslov problem
• The problem of drift and recurrence for the rolling Chaplygin ball
• Geometrisation of Chaplygin's reducing multiplier theorem
• Rubber Rolling: Geometry and Dynamics of 2-3-5 Distributions
• The car with N Trailers : characterization of the singular configurations
• Some properties of the general n-trailer
• The theory of the generalized magnus effect for non-holonomic mechanical systems
• Topology and Bifurcations in Nonholonomic Mechanics
• Oscillations, SE(2)-snakes and motion control: A study of the Roller Racer
• Die Bewegung eines einfachen Wagenmodells