Dual parametrization of the bifurcation set of a mechanical system with quadratic integrals

DOI10.1016/S0021-8928(97)00046-4zbMath0884.70007OpenAlexW2003339319MaRDI QIDQ4373796

V. I. Orekhov

Publication date: 21 January 1998

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8928(97)00046-4

zbMATH Keywords

Riemannian manifoldSmale's scheme

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Dynamics of a system of particles, including celestial mechanics (70F99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Cites Work

• Topological analysis of natural systems with quadratic integrals
• Topology and mechanics. II: The planar \(n\)-body problem
• Morse Theory. (AM-51)
• Convex Analysis
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