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Dynamics of Maxwell’s pendulum

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Abstract

The stability of motion of Maxwell’s pendulum is investigated in a uniform gravity field. By means of several canonic transforms of the equations of pendulum motion and the method of the surfaces of Poincaré sections, the problem is reduced to investigation of the immobile-point stability retaining the area of mapping of the plane into itself. In the space of dimensionless parameters, the stability and instability regions are singled out.

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Author information

Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 117526, Russia

    A. P. Markeev

  2. Moscow State Institute of Aviation, Moscow, 125080, Russia

    A. P. Markeev

Authors
  1. A. P. Markeev
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Correspondence to A. P. Markeev.

Additional information

Original Russian Text © A.P. Markeev, 2017, published in Doklady Akademii Nauk, 2017, Vol. 473, No. 6, pp. 664–668.

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Markeev, A.P. Dynamics of Maxwell’s pendulum. Dokl. Phys. 62, 228–232 (2017). https://doi.org/10.1134/S1028335817040140

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  • DOI: https://doi.org/10.1134/S1028335817040140

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