Focus-focus singularities in classical mechanics

    2014, Vol. 10, No. 1, pp.  101-112

    Author(s): Smirnov G. E.

    In this paper the local singularities of integrable Hamiltonian systems with two degrees of freedom are studied. The topological obstruction to the existence of a focus-focus singularity with given complexity is found. It is shown that only simple focus-focus singularities can appear in a typical mechanical system. Model examples of mechanical systems with complicated focusfocus singularity are given.
    Keywords: integrable hamiltonian systems, focus-focus singularities, obstruction to the existence of singularities
    Citation: Smirnov G. E., Focus-focus singularities in classical mechanics, Rus. J. Nonlin. Dyn., 2014, Vol. 10, No. 1, pp.  101-112

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