On deformations of the canonical Poisson bracket for the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems on zero-level of the area integral. I
Publication date: 18 December 2024
Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)
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
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- Chaplygin ball over a fixed sphere: an explicit integration
- Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion
- The modular automorphism group of a Poisson manifold
- On the Steklov-Lyapunov case of the rigid body motion
- New variables of separation for particular case of the Kowalevski top
- The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
- On natural Poisson bivectors on the sphere
- Canonical transformations of the extended phase space, Toda lattices and the Stäckel family of integrable systems
- On two different bi-Hamiltonian structures for the Toda lattice
- Generalized Chaplygins transformation and explicit integration of a system with a spherical support
Related Items (1)
This page was built for publication: On deformations of the canonical Poisson bracket for the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems on zero-level of the area integral. I
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6654213)