New approach to symmetries and singularities in integrable Hamiltonian systems

DOI10.1016/j.topol.2011.11.056zbMath1248.37050OpenAlexW2004483160MaRDI QIDQ409716

A. T. Fomenko, Andrey Yu. Konyaev

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.056

zbMATH Keywords

bifurcation diagramatomsspectral curvecommutative polynomialstwo-dimensional integrable systems

Mathematics Subject Classification ID

Related Items (29)

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Cites Work

• The bifurcation diagram and the discriminant of rigid body-type integrable systems on the Lie algebras \(\operatorname{so}(2n + 1)\), \(\operatorname{sp}(2n)\), and \(\operatorname{sl}(n)\)
• Topological invariants of Liouville integrable Hamiltonian systems
• Stable topological non-conjugacy of Hamiltonian systems on two-dimensional surfaces
• A Proof of the Mishchenko-Fomenko Conjecture (1981)
• The index of centralizers of elements in classical Lie algebras
• Bifurcation diagram and the discriminant of a spectral curve of integrable systems on Lie algebras
• Maximally symmetric cell decompositions of surfaces and their coverings
• Topology of the Liouville foliation on a 2-sphere in the Dullin-Matveev integrable case
• Theory of Maps on Orientable Surfaces
• EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
• The index of a Lie algebra, the centralizer of a nilpotent element, and the normalizer of the centralizer
• Abstract Regular Polytopes
• Geometry of translations of invariants on semisimple Lie algebras
• Introduction to Lie Algebras and Representation Theory
• Self-dual configurations and regular graphs
• Bifurcations, atoms and knots
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