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arXiv · 1312.5184

Phase topology of one system with separated variables and singularities of the symplectic structure

Mikhail P. Kharlamov
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Abstract

We consider an example of a system with two degrees of freedom admitting separation of variables but having a subset of codimension 1 on which the 2-form defining the symplectic structure degenerates. We show how to use separation of variables to calculate the exact topological invariant of non-degenerate singularities and singularities appearing due to the symplectic structure degeneration. New types of non-orientable 3-atoms are found.

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Mikhail P. Kharlamov. 2014-07-31. Phase topology of one system with separated variables and singularities of the symplectic structure. https://doi.org/10.1016/j.geomphys.2014.07.004

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