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2013
Impact Factor

    Vladimir Marikhin

    2, Kosygina str., 119334 Moscow, Russia
    Landau Institute for Theoretical Physics of RAS

    Publications:

    Marikhin V. G., Sokolov V. V.
    Abstract
    We examine simultaneous diagonalization of pairs of commuting Hamiltonians of two degrees of freedom, quadratic in momenta, and their reduction to canonical form. A real partial separation of variables for the Clebsch top is carried out.
    Keywords: separation of variables, Clebsch top
    Citation: Marikhin V. G., Sokolov V. V.,  On the Reduction of the Pair of Hamiltonians Quadratic inMomenta to Canonic Form and Real Partial Separation of Variables for the Clebsch Top, Rus. J. Nonlin. Dyn., 2008, Vol. 4, No. 3, pp.  313-322
    DOI:10.20537/nd0803005
    Sokolov V. V., Marikhin V. G.
    Separation of variables on non-hiperelliptic curve
    2005, Vol. 1, No. 1, pp.  53-67
    Abstract
    A 8-parametric pair of commuting Hamiltonians of two degrees of freedom, quadratic in moments and coefficients depending only on coordinates is constructed. The Schottky-Manakov and the Clebsch spinning tops are particular cases of this model. The action function as an integral on a non-hyperelliptic curve of genus 4 is found.
    Keywords: Separation of variables on non-hiperelliptic curve
    Citation: Sokolov V. V., Marikhin V. G.,  Separation of variables on non-hiperelliptic curve, Rus. J. Nonlin. Dyn., 2005, Vol. 1, No. 1, pp.  53-67
    DOI:10.20537/nd0501004

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