Topology, bifurcations and Liouville classification of Kirchhoff equations with an additional integral of fourth degree

DOI10.1088/0305-4470/34/11/308zbMath1005.70006OpenAlexW2026677258MaRDI QIDQ2716882

O. E. Orel, Pavel E. Ryabov

Publication date: 5 August 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/11/308

zbMATH Keywords

topological methodsKirchhoff equationsFomenko-Zieschang invariantintegrable Hamiltonian systemsbifurcation setLiouville torienergy surfacesLiouville classificationmotion of rigid body in fluid

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Dynamical systems in classical and celestial mechanics (37N05) Integrable cases of motion in rigid body dynamics (70E40) Topological and differential topological methods for problems in mechanics (70G40)

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