On the Poisson structures for the Chaplygin ball and its generalizations
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Publication:6654729
Publication date: 20 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?)
- Integrable Euler top and nonholonomic Chaplygin ball
- Chaplygin ball over a fixed sphere: an explicit integration
- One invariant measure and different Poisson brackets for two non-holonomic systems
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- Generalized Chaplygins transformation and explicit integration of a system with a spherical support
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