An analogue of the Liouville theorem for integrable Hamiltonian systems with incomplete flows
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Publication:1761070
DOI10.1134/S1064562412040254zbMath1296.37047arXiv1203.5455MaRDI QIDQ1761070
Publication date: 15 November 2012
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.5455
Related Items (8)
Structurally stable nondegenerate singularities of integrable systems ⋮ First Appelrot class of pseudo-Euclidean Kovalevskaya system ⋮ Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds ⋮ Symplectic invariants for parabolic orbits and cusp singularities of integrable systems ⋮ Algorithmic construction of two-dimensional singular fibers of atoms of billiards in non-convex domains ⋮ Topology of Liouville foliations for integrable billiards in non-convex domains ⋮ Hidden toric symmetry and structural stability of singularities in integrable systems ⋮ Complex Hamiltonian systems on \(\mathbb{C}^{2}\) with Hamiltonian function of low Laurent degree
Cites Work
- Complete integrability beyond Liouville-Arnol'd
- Newton polyhedra and the genus of complete intersections
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- The topology of Lagrangian foliations of integrable systems with hyperelliptic Hamiltonian
- Incomplete integrable Hamiltonian systems with complex polynomial Hamiltonian of small degree
- Decay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of Abelian differentials
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