The complex geometry of the Lagrange top
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Publication:1594920
zbMath0972.37042MaRDI QIDQ1594920
Angel Zhivkov, Lyubomir Gavrilov
Publication date: 30 January 2001
Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Dynamical systems in classical and celestial mechanics (37N05) Integrable cases of motion in rigid body dynamics (70E40)
Related Items (14)
The monodromy of the Lagrange top and the Picard-Lefschetz formula. ⋮ Algebraic geometry and stability for integrable systems ⋮ Some recent generalizations of the classical rigid body systems ⋮ The harmonic Lagrange top and the confluent Heun equation ⋮ Hamiltonian Monodromy via spectral Lax pairs ⋮ Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures ⋮ 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 ⋮ An extended Abel-Jacobi map ⋮ An integrable discretization of the rational \({\mathfrak su(2)}\) Gaudin model and related systems ⋮ Lax equations, singularities and Riemann-Hilbert problems ⋮ Torus actions and generalized Jacobians ⋮ Bihamilton structure and singularities of momentum mapping for Lagrange top
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