Historical and critical review of the development of nonholonomic mechanics: the classical period

DOI10.1134/S1560354716040055zbMath1352.37172OpenAlexW2506922045MaRDI QIDQ327555

Alexey V. Borisov, Ivan. S. Mamaev, Ivan. A. Bizyaev

Publication date: 19 October 2016

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

Full work available at URL: http://mathnet.ru/eng/nd534

zbMATH Keywords

d'Alembert-Lagrange principlenonholonomic constraintnonholonomic mechanicspermutation relations

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) General histories, source books (01A05) Nonholonomic dynamical systems (37J60)

Related Items (14)

Regular and chaotic motions of a Chaplygin sleigh under periodic pulsed torque impacts ⋮ On final motions of a Chaplygin ball on a rough plane ⋮ Regular and chaotic dynamics in the rubber model of a Chaplygin top ⋮ Spiral chaos in the nonholonomic model of a Chaplygin top ⋮ Conservation laws of nonconservative nonholonomic system based on Herglotz variational problem ⋮ Integrability and chaos in figure skating ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ A Nonholonomic Model and Complete Controllability of a Three-Link Wheeled Snake Robot ⋮ The Integrable Problem of the Rolling Motion of a Dynamically Symmetric Spherical Top with One Nonholonomic Constraint ⋮ Dynamics of the Chaplygin ball on a rotating plane ⋮ Dynamics of rubber Chaplygin sphere under periodic control ⋮ Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem ⋮ On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich ⋮ Complete inequivalence of nonholonomic and vakonomic mechanics

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