Geometrization of the Chaplygin reducing-multiplier theorem
A. V. Borisov, A. V. Bolsinov, I. S. Mamaev
Publication date: 27 December 2024
Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)
Poisson structurePoisson bracketconformally Hamiltonian systemChaplygin ballHamiltonizationreducing multipliernonholonomic dynamical system
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)
Cites Work
- Title not available (Why is that?)
- On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
- Chaplygin ball over a fixed sphere: an explicit integration
- Reduction of some classical non-holonomic systems with symmetry
- Nonholonomic LR systems as generalized Chaplygin systems with an invariant measure and flows on homogeneous spaces
- On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
- Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
- Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds
- Separation of variables on a non-hyperelliptic curve
- On the geometry of generalized Chaplygin systems
- On the Volume Elements on a Manifold
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- On the nonholonomic Veselova and Chaplygin systems
This page was built for publication: Geometrization of the Chaplygin reducing-multiplier theorem
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6655600)