Bifurcation diagrams of natural Hamiltonian systems on Bertrand manifolds

DOI10.3103/S002713221501009XzbMath1359.37120MaRDI QIDQ493889

D. A. Fedoseev

Publication date: 4 September 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Surfaces in Euclidean and related spaces (53A05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (2)

Noncompact bifurcations of integrable dynamic systems ⋮ Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds

Cites Work

• Unnamed Item
• The integrability of some Hamiltonian systems
• Liouville integrability of Hamiltonian systems on Lie algebras
• A generalization of Bertrand's theorem to surfaces of revolution

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