On the Poisson structures for the nonholonomic Chaplygin and Veselova problems
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Publication:1760048
DOI10.1134/S1560354712050061zbMath1263.37074MaRDI QIDQ1760048
Publication date: 12 November 2012
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic dynamical systems (37J60)
Related Items
Bäcklund transformations for the nonholonomic Veselova system, Rolling balls over spheres in $ \newcommand{\m}{\mathfrak m} {\mathbb{R}^n}$, Integrable discretization and deformation of the nonholonomic Chaplygin ball, The Hojman construction and hamiltonization of nonholonomic systems, The problem of drift and recurrence for the rolling Chaplygin ball, Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra?, On the Lie integrability theorem for the Chaplygin ball, Poisson structures for two nonholonomic systems with partially reduced symmetries, Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem, Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane
Cites Work
- Integrable Euler top and nonholonomic Chaplygin ball
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- Chaplygin ball over a fixed sphere: an explicit integration
- One invariant measure and different Poisson brackets for two non-holonomic systems
- Generalized Chaplygin's transformation and explicit integration of a system with a spherical support
- Nonholonomic Lagrangian systems on Lie algebroids
- Les variétés de Poisson et leurs algèbres de Lie associees
- Transformation of a pair of commuting hamiltonians quadratic in momenta to canonical form and real partial separation of variables for the Clebsch top
- On two different bi-Hamiltonian structures for the Toda lattice
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