Saddle singularities of complexity 1 of integrable Hamiltonian systems |
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Authors: | A A Oshemkov |
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Institution: | 1.Faculty of Mechanics and Mathematics,Moscow State University,Moscow,Russia |
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Abstract: | Properties of saddle singularities of rank 0 and complexity 1 for integrable Hamiltonian systems are studied. An invariant
(f
n
-graph) solving the problem of semi-local classification of saddle singularities of rank 0 for an arbitrary complexity was
constructed earlier by the author. In this paper, a more simple form of the invariant for singularities of complexity 1 is
obtained and some properties of such singularities are described in algebraic terms. In addition, the paper contains a list
of saddle singularities of complexity 1 for systems with three degrees of freedom. |
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Keywords: | |
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