One invariant measure and different Poisson brackets for two non-holonomic systems

DOI10.1134/S1560354712010078zbMath1262.37030arXiv1106.1952OpenAlexW3099837516MaRDI QIDQ691214

Andreĭ Vladimirovich Tsyganov

Publication date: 30 November 2012

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

Full work available at URL: https://arxiv.org/abs/1106.1952

zbMATH Keywords

Poisson bracketinvariant measurenonholonomic systembi-hamiltonian geometry

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)

Related Items (9)

Topological analysis of an integrable system related to the rolling of a ball on a sphere ⋮ One family of conformally Hamiltonian systems ⋮ The Hojman construction and hamiltonization of nonholonomic systems ⋮ Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra? ⋮ On the Poisson structures for the nonholonomic Chaplygin and Veselova problems ⋮ Poisson structures for two nonholonomic systems with partially reduced symmetries ⋮ Dynamics and control of an omniwheel vehicle ⋮ ON GENERALIZED NONHOLONOMIC CHAPLYGIN SPHERE PROBLEM ⋮ Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane

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