Integrability and dynamics of the \(n\)-dimensional symmetric Veselova top
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Publication:2003406
DOI10.1007/s00332-018-9515-5zbMath1418.37107arXiv1804.09090OpenAlexW2799256348MaRDI QIDQ2003406
Luis C. García-Naranjo, Francesco Fassoò, James A. Montaldi
Publication date: 8 July 2019
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.09090
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Nonholonomic systems related to the dynamics of a system of particles (70F25) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17) Nonholonomic dynamical systems (37J60) Higher-dimensional generalizations in rigid body dynamics (70E45)
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Cites Work
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- Conservation of `moving' energy in nonholonomic systems with affine constraints and integrability of spheres on rotating surfaces
- Hamiltonization and integrability of the Chaplygin sphere in \(\mathbb R^{n}\)
- On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
- Hamiltonization of the generalized Veselova LR system
- Integrable nonholonomic systems on Lie groups
- Reduction of some classical non-holonomic systems with symmetry
- Gauge momenta as Casimir functions of nonholonomic systems
- Nonholonomic LR systems as generalized Chaplygin systems with an invariant measure and flows on homogeneous spaces
- Nonholonomic mechanical systems with symmetry
- Geometry of invariant tori of certain integrable systems with symmetry and an application to a nonholonomic system
- Periodic flows, rank-two Poisson structures, and nonholonomic mechanics
- Quasi-periodicity in relative quasi-periodic tori
- Equivariant Dynamical Systems
- Rolling balls over spheres in $ \newcommand{\m}{\mathfrak m} {\mathbb{R}^n}$
- Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere
- A symmetric sphere rolling on a surface
- Stability of relative equilibria of multidimensional rigid body
- LR and L+R systems
- Lie groups