Hirota-Kimura type discretization of the classical nonholonomic Suslov problem
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Publication:652963
DOI10.1134/S1560354708040023zbMath1229.37084arXiv0807.2966OpenAlexW3102670289MaRDI QIDQ652963
Borislav Gajić, Vladimir Dragović
Publication date: 6 January 2012
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.2966
Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Nonholonomic dynamical systems (37J60)
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Cites Work
- Unnamed Item
- Discrete versions of some classical integrable systems and factorization of matrix polynomials
- The problem of integrable discretization: Hamiltonian approach
- Some multidimensional integrable cases of nonholonomic rigid body dynamics
- Dynamics of the \(n\)-dimensional Suslov problem
- Discretization of the Lagrange Top
- Discretization of the Euler Top
- Non-holonomic integrators
- Geometry and integrability of Euler-Poincaré-Suslov equations
- How to find the conserved quantities of nonlinear discrete equations
- Generalizations of classical integrable nonholonomic rigid body systems
- Geometric integrators and nonholonomic mechanics
- Discrete nonholonomic LL systems on Lie groups
