Abstract
The main perpose of this letter is to give a topological classification of stable nondegenerate singularities of smooth integrable Hamiltonian systems. Namely, we show that all such singularities can be decomposed diffeomorphically, after a finite covering, to the direct product of simplest (codimension 1 and codimension 2 focus-focus) singularities.
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Zung, N.T. Decomposition of nondegenerate singularities of integrable Hamiltonian systems. Lett Math Phys 33, 187–193 (1995). https://doi.org/10.1007/BF00749620
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DOI: https://doi.org/10.1007/BF00749620