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- Title
Classification of integrable Hamiltonian systems with nondegenerate singularities on ℂ P.
- Authors
Oshemkov, A. A.
- Abstract
The article discusses the topological properties of the sets of singular points of integrable Hamiltonian systems with two degrees of freedom. It says that the submanifolds are proved to be filled by hyperbolic singularities that have trivial normal bundle in the phase space of the system. It notes that there are four types of nondegenerate singular points of rank 0, in the case of two degrees of freedom such as the center-center, center-saddle, saddle-saddle and focus-focus types and added that the two types of nondegenerate singularities of rank 1 are hyperbolic and elliptic.
- Subjects
MATHEMATICAL models; TOPOLOGICAL dynamics; HAMILTONIAN systems; SUBMANIFOLDS; HYPERBOLIC spaces; SINGULAR integrals; SINGULAR perturbations; ELLIPTIC functions; PHASE space
- Publication
Doklady Mathematics, 2011, Vol 83, Issue 2, p213
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562411020232