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- Title
Net diagrams for the Fomenko invariant in the integrable system with three degrees of freedom.
- Authors
Kharlamov, M.; Ryabov, P.
- Abstract
The article focuses on the investigation regarding the net diagrams for the Fomenko invariant in integrable system that features three degrees of freedom. It discusses the research of bifurcations in integrable Hamiltonian systems that have two degrees of freedom with a non-linear additional integral. It mentions the generalization of the Kovalevskaya top motion problem to the double force field. It provides a description of the rough topological invariant of integrable system as a one-dimensional complex built from a three-dimensional stratified manifold.
- Subjects
INVARIANT manifolds; INVARIANT sets; INTEGRABLE functions; DEGREES of freedom; BIFURCATION diagrams; HAMILTONIAN systems; STRATIFIED sets; GENERALIZATION; ROUGH sets
- Publication
Doklady Mathematics, 2012, Vol 86, Issue 3, p839
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562412060282