scientific article; zbMATH DE number 203002

zbMath0774.58012MaRDI QIDQ4694936

Michèle Audin, Robert Silhol

Publication date: 16 June 1993

Full work available at URL: http://www.numdam.org/item?id=CM_1993__87_2_153_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

spectral curveLiouville tori

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Theta functions and abelian varieties (14K25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (3)

The Hénon-Heiles system ⋮ Lax formalism for Gelfand-Tsetlin integrable systems ⋮ Unnamed Item

Cites Work

• Integrable Hamiltonian systems connected with graded Lie algebras
• Geodesic flow on \(SO(4)\) and Abelian surfaces
• Bifurcation of common levels of first integrals of the Kovalevskaya problem
• Moduli spaces for real algebraic curves and real abelian varieties
• The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs
• Linearization of Hamiltonian systems, Jacobi varieties and representation theory
• The Lagrange rigid body motion
• Compactifications of moduli spaces in real algebraic geometry
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
• The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions
• Theta functions on Riemann surfaces
• The full Geometry of Kowalewski's top and (1, 2)-abelian surfaces
• Linearizing Flows and a Cohomological Interpretation of Lax Equations
• THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY
• Real algebraic curves
• Real algebraic surfaces
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