scientific article

zbMath0748.70003MaRDI QIDQ4009398

Lyubomir Gavrilov

Publication date: 27 September 1992

Full work available at URL: http://www.numdam.org/item?id=CM_1992__82_3_275_0

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zbMATH Keywords

Lagrange caseadditional algebraic first integralYehia caseZhukovsky case

Mathematics Subject Classification ID

Motion of the gyroscope (70E05)

Related Items (5)

Bifurcation diagrams and Fomenko's surgery on Liouville tori of the Kolossoff potential $U=\rho+(1/\rho)-k\cos\phi$ ⋮ Singularity analysis in planar vector fields ⋮ Gyrostatic Suslov Problem ⋮ The bi-Hamiltonian structure of the Lagrange top ⋮ Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods

Cites Work

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• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• New integrable cases in the dynamics of rigid bodies
• Abelian surfaces and Kowalewski's top
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• On algebraic integrals in the problem of motion of a heavy gyrostat fixed at one point
• Necessary condition for the existence of algebraic first integrals

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