On the nonholonomic Veselova and Chaplygin systems

MaRDI QIDQ6654751

A. V. Tsiganov

Publication date: 20 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

nonholonomic systemsPoisson brackets

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)

Cites Work

• Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
• Generalized Chaplygins transformation and explicit integration of a system with a spherical support
• Title not available (Why is that?)

Related Items (1)

Geometrization of the Chaplygin reducing-multiplier theorem

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