Algebraic geometry and stability for integrable systems
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Publication:282233
DOI10.1016/j.physd.2014.10.006zbMath1335.37041arXiv1309.7659OpenAlexW2072789995MaRDI QIDQ282233
Publication date: 12 May 2016
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.7659
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Meromorphic functions of one complex variable (general theory) (30D30) Stability problems in rigid body dynamics (70E50) Algebraic geometry methods for problems in mechanics (70G55)
Related Items (4)
On the singularities of Mishchenko-Fomenko systems ⋮ On the fibres of Mishchenko-Fomenko systems ⋮ Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type ⋮ The \(U(n)\) free rigid body: integrability and stability analysis of the equilibria
Cites Work
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- The Jacobi-Rosochatius problem on an ellipsoid: the Lax representations and billiards
- Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body
- Bi-Hamiltonian structures and singularities of integrable systems
- Stability in bihamiltonian systems and multidimensional rigid body
- Linearization of Hamiltonian systems, Jacobi varieties and representation theory
- Completely integrable systems, Euclidean Lie algebras, and curves
- The Lagrange rigid body motion
- The spectrum of difference operators and algebraic curves
- Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
- The complex geometry of the Lagrange top
- The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions
- Hamiltonian monodromy via Picard-Lefschetz theory
- Algebraic and geometric properties of quadratic Hamiltonians determined by sectional operators
- ON THE STABILITY PROBLEM FOR THE $\mathfrak{so}(5)$ FREE RIGID BODY
- A note on relative equilibria of a free multidimensional rigid body
- Bifurcation diagram and the discriminant of a spectral curve of integrable systems on Lie algebras
- Centralizers of certain quadratic elements in Poisson-Lie algebras and the method of translation of invariants
- Topology and stability of integrable systems
- NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
- EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
- Introduction to Classical Integrable Systems
- Stability Analysis of Some Integrable Euler Equations for SO(n)
- Geometry of translations of invariants on semisimple Lie algebras
- Stability of relative equilibria of multidimensional rigid body
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