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Two integrable nonholonomic systems in classical dynamics

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Publication:916432
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zbMath0703.70015MaRDI QIDQ916432

Yuri N. Fedorov

Publication date: 1989

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)


zbMATH Keywords

integrable systemball rollingChaplygin's problemnonstationary nonholonomic constraint


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Nonholonomic systems related to the dynamics of a system of particles (70F25)


Related Items

Hamiltonization and integrability of the Chaplygin sphere in \(\mathbb R^{n}\) ⋮ Invariant measures of modified LR and L+R systems ⋮ Moving energies as first integrals of nonholonomic systems with affine constraints ⋮ Generalized Chaplygin's transformation and explicit integration of a system with a spherical support



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