An L–A pair for the Hess–Apel'rot system and a new integrable case for the Euler–Poisson equations on so(4) × so(4)

DOI10.1017/S0308210500001141zbMath1010.70004arXivmath-ph/9911047OpenAlexW2161158889MaRDI QIDQ2764657

Borislav Gajić, Vladimir Dragović

Publication date: 9 April 2002

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9911047

zbMATH Keywords

counterexampleclassification theoremEuler-Poisson equationsalgebro-geometric integration procedureL-A paircompletely integrable caseHess-Apel'rot heavy three-dimensional bodyRatiu's theorems

Mathematics Subject Classification ID

Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Related Items (11)

On the general solution of the problem of the motion of a heavy rigid body in the Hess case ⋮ SYSTEMS OF HESS–APPEL'ROT TYPE AND ZHUKOVSKII PROPERTY ⋮ Some recent generalizations of the classical rigid body systems ⋮ The Hess-Appelrot system. III: Splitting of separatrices and chaos ⋮ Asymptotic invariant surfaces for non-autonomous pendulum-type systems ⋮ Four-dimensional generalization of the Grioli precession ⋮ Perturbations of the Hess-Appelrot and the Lagrange cases in the rigid body dynamics ⋮ Elliptic curves and a new construction of integrable systems ⋮ Matrix Lax polynomials, geometry of Prym varieties and systems of Hess-Appel'rot type ⋮ Systems of Hess-Appel'rot type ⋮ On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations

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