Bifurcation diagrams and Fomenko's surgery on Liouville tori of the Kolossoff potential $U=\rho+(1/\rho)-k\cos\phi$

DOI10.24033/asens.1680zbMath0797.34042OpenAlexW2260454000MaRDI QIDQ4289248

Mohammed Ouazzani-Jamil, R. Caboz, Lyubomir Gavrilov

Publication date: 28 April 1994

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1993_4_26_5_545_0

zbMATH Keywords

bifurcationstopologyHamiltonian systemmotion of a particlepotential fieldinvariant level sets

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (2)

BIFURCATIONS OF THE COMMON LEVEL SETS OF ATOMIC HYDROGEN IN VAN DER WAALS POTENTIAL ⋮ Unnamed Item

Cites Work

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• Bifurcations of invariant manifolds in the generalized Hénon-Heiles system
• Bifurcation of common levels of first integrals of the Kovalevskaya problem
• Completely integrable systems, Euclidean Lie algebras, and curves
• Klein surfaces
• Solution of equations of problem of motion of a heavy rigid body about a fixed point in the Kowalevskaya's case using ?-function
• Topological classification of integrable non-degenerate Hamiltonians on a constant energy three-dimensional sphere
• Necessary condition for the existence of algebraic first integrals

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