Integrable Hamiltonian systems on Lie groups: Kowalewski type

DOI10.2307/121090zbMath0953.37012OpenAlexW2045063823WikidataQ115229719 ScholiaQ115229719MaRDI QIDQ1970467

Velimir Jurdjevic

Publication date: 13 July 2000

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120737

zbMATH Keywords

integrabilityLie groupsHamiltonian systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (14)

Topological atlas of the Kowalevski-Sokolov top ⋮ Some recent generalizations of the classical rigid body systems ⋮ Invariant Control Systems on Lie Groups ⋮ Kirchhoff elastic rods in three-dimensional space forms ⋮ Kowalewski top and complex Lie algebras ⋮ Integrable variational equations of non-integrable systems ⋮ Hamiltonian point of view of non-Euclidean geometry and elliptic functions ⋮ The symplectic structure of curves in three dimensional spaces of constant curvature and the equations of mathematical physics ⋮ Geometrization and generalization of the Kowalevski top ⋮ Systems of Kowalevski type and discriminantly separable polynomials ⋮ The Sokolov case, integrable Kirchhoff elasticae, and genus 2 theta functions via discriminantly separable polynomials ⋮ Optimal control on Lie groups and integrable Hamiltonian systems ⋮ Optimal curves for an affine distribution ⋮ The Kowalevski top as a reduction of a Hamiltonian system on $\mathfrak {sp}(4, \mathbb {R})^*$

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