Differential Galois approach to the non-integrability of the heavy top problem
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Publication:2484123
DOI10.5802/afst.1090zbMath1089.70002arXivmath/0404367OpenAlexW2084701966MaRDI QIDQ2484123
Maria Przybylska, Andrzej J. Maciejewski
Publication date: 3 August 2005
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0404367
Differential algebra (12H05) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)
Related Items (14)
DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY ⋮ The Hess-Appelrot system. III: Splitting of separatrices and chaos ⋮ Perturbations of the Hess-Appelrot and the Lagrange cases in the rigid body dynamics ⋮ Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Galoisian obstruction to the integrability of general dynamical systems ⋮ Application of the Kovacic algorithm for the investigation of motion of a heavy rigid body with a fixed point in the Hess case ⋮ Integrability analysis of the Shimizu-Morioka system ⋮ On certain integrable and superintegrable weight-homogeneous Hamiltonian systems ⋮ Differential Galois obstructions for non-commutative integrability ⋮ On rational integrability of Euler equations on Lie algebra \(\mathrm{so}(4, \mathbb C)\) ⋮ Horseshoes for the nearly symmetric heavy top ⋮ On rational integrability of Euler equations on Lie algebra \(so0(4,\mathbb C)\), revisited ⋮ The Euler-Poisson equations: an elementary approach to integrability conditions ⋮ Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers
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