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Invariants of four- and three-dimensional singularities of integrable systems

Doklady Mathematics. 2016. Vol. 93. No. 2. P. 186–189.
Tuzhilin M.

A relationship between invariants of four-dimensional singularities of integrable Hamiltonian systems (with two degrees of freedom) and invariants of two-dimensional foliations on three-dimensional manifolds being the “boundaries” of these four-dimensional singularities is discovered. Nonequivalent singularities which, nevertheless, have equal three-dimensional invariants are found.

Research target: Mathematics
Language: English
DOI
Keywords: dynamical systems
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