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Integer lattices of action-angle variables for “spherical pendulum” system

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Abstract

The topology of a “spherical pendulum” mechanical system is studied and an integer lattice generated by action-angle variables is constructed for this system. An algorithm computing numerical marks of Fomenko-Zieschang invariant and monodromy matrices using these lattices is described. This algorithm is applied to the “spherical pendulum” system.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    E. O. Kantonistova

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  1. E. O. Kantonistova
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Correspondence to E. O. Kantonistova.

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Original Russian Text © E.O. Kantonistova. 2014, published in Vestnik Moskovskogo Universiteta. Matematika. Mekhanika. 2014, Vol. 69, No. 4, pp. 6–17.

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Kantonistova, E.O. Integer lattices of action-angle variables for “spherical pendulum” system. Moscow Univ. Math. Bull. 69, 135–147 (2014). https://doi.org/10.3103/S0027132214040019

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  • DOI: https://doi.org/10.3103/S0027132214040019

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