Abstract
We consider focus-focus singularities of integrable Hamiltonian systems with two degrees of freedom. It is known that if two singularities of this kind have the same number of singular points, then they are fiber-wise homeomorphic. However, it may happen that this homeomorphism cannot be made smooth. An invariant is constructed, which makes it possible to classify focus-focus singularities up to a C 1-diffeomorphism.
Original language | English (US) |
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Pages (from-to) | 178-180 |
Number of pages | 3 |
Journal | Moscow University Mathematics Bulletin |
Volume | 66 |
Issue number | 4 |
DOIs | |
State | Published - Aug 2011 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics