New examples of systems of the Kowalevski type

DOI10.1134/S1560354711050054zbMath1309.37052arXiv1109.4296OpenAlexW3099442390MaRDI QIDQ2341138

Vladimir Dragović, Katarina Kukić

Publication date: 23 April 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4296

zbMATH Keywords

invariant measureintegrable dynamical systemKowalevski topdiscriminantly separable polynomialssystems of the Kowalevski type

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Related Items (6)

Some recent generalizations of the classical rigid body systems ⋮ Kowalewski top and complex Lie algebras ⋮ Systems of Kowalevski type and discriminantly separable polynomials ⋮ Discriminantly separable polynomials and quad-equations ⋮ The Sokolov case, integrable Kirchhoff elasticae, and genus 2 theta functions via discriminantly separable polynomials ⋮ Discriminantly separable polynomials and the generalized Kowalevski top

Cites Work

• Geometrization and generalization of the Kowalevski top
• The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions
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