On polynomial integrability of the Euler equations on \(\mathfrak{so}(4)\)

DOI10.1016/j.geomphys.2015.06.001zbMath1325.34003OpenAlexW913177641MaRDI QIDQ492888

Jaume Llibre, Jiang Yu, Xiang Zhang

Publication date: 21 August 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.06.001

zbMATH Keywords

Euler equationsanalytic first integralpolynomial first integralKowalevsky exponentquasi-homogeneous differential system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (6)

Darboux integrability of the simple chaotic flow with a line equilibria differential system ⋮ On the dynamics of the Euler equations on so(4) ⋮ Analytic integrability of quasi-homogeneous systems via the Yoshida method ⋮ Integrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2 ⋮ On the Darboux integrability of a three–dimensional forced–damped differential system ⋮ Integrability and linearizability of a family of three-dimensional quadratic systems

Cites Work

• On rational integrability of Euler equations on Lie algebra \(so0(4,\mathbb C)\), revisited
• The algebraic integrability of geodesic flow on SO(4)
• On rational integrability of Euler equations on Lie algebra \(\mathrm{so}(4, \mathbb C)\)
• First integrals and normal forms for germs of analytic vector fields
• Geodesic flow on \(SO(4)\) and Abelian surfaces
• The algebraic complete integrability of geodesic flow on SO(N)
• The Euler equations on Lie algebra so(4): An elementary approach to integrability condition
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On polynomial integrability of the Euler equations on \(\mathfrak{so}(4)\)