Bifurcation diagram and the discriminant of a spectral curve of integrable systems on Lie algebras

DOI10.1070/SM2010v201n09ABEH004112zbMath1230.37074OpenAlexW2115195306MaRDI QIDQ3066809

Andrey Yu. Konyaev

Publication date: 12 January 2011

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2010v201n09abeh004112

zbMATH Keywords

Lie algebrabifurcation diagramspectral curvemethod of argument shift

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22)

Related Items (6)

Algebraic geometry and stability for integrable systems ⋮ Argument shift method and sectional operators: applications to differential geometry ⋮ New approach to symmetries and singularities in integrable Hamiltonian systems ⋮ On the singularities of Mishchenko-Fomenko systems ⋮ The Adler-van Moerbeke integrable case. Visualization of bifurcations of Liouville tori ⋮ The integrable case of Adler-van Moerbeke. Discriminant set and bifurcation diagram

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