On the polynomial integrability of Kirchhoff's equations

DOI10.1016/j.physd.2012.05.003zbMath1253.34005OpenAlexW2011437293MaRDI QIDQ453137

Jaume Llibre, Claudia Valls

Publication date: 18 September 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2012.05.003

zbMATH Keywords

Darboux polynomialsanalytic first integralspolynomial first integralshomogeneous differential systems

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Integrable cases of motion in rigid body dynamics (70E40)

Related Items

Integrability of vector fields versus inverse Jacobian multipliers and normalizers, Comment on ``On the polynomial integrability of the Kirchhoff equations, The completely integrable differential systems are essentially linear differential systems

Cites Work

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• Suppression of bursting
• Controlling homoclinic orbits
• Dynamics of the Kirchhoff equations. I: Coincident centers of gravity and buoyancy
• Currents on Lie groups with nonholonomic connection and integrable non- Hamiltonian systems
• Stabilization of rigid body dynamics by internal and external torques
• Control of noisy heteroclinic cycles
• Motion of a body with undeformable shell and variable mass geometry in an unbounded perfect fluid
• Generalizations of classical integrable nonholonomic rigid body systems
• Local first integrals for systems of differential equations
• The motion in a perfect fluid of a body containing a moving point mass