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Bifurcation Analysis of Gyroscope Dynamics in a Gimbal Suspension

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Moscow University Mechanics Bulletin Aims and scope

Abstract

The problem of motion of a gyroscope in a gimbal suspension is discussed. All steady motions of the system, their stability and branching conditions are given. The results are presented in the form of an atlas of bifurcation diagrams.

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References

  1. K. Magnus, Gyroscopes, Theory and Applications (Springer, Berlin, 1971; Mir, Moscow, 1974).

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  2. V. N. Rubanovskii and V. A. Samsonov, Stability of Steady Motions (Nauka, Moscow, 1986) [in Russian].

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  3. A. V. Karapetyan, Stability of Stationary Motions (Editorial, Moscow, 1998) [in Russian].

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Author information

Authors and Affiliations

  1. Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119899, Russia

    A. V. Karapetyan & M. P. Chaplygina

Authors
  1. A. V. Karapetyan
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  2. M. P. Chaplygina
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Corresponding authors

Correspondence to A. V. Karapetyan or M. P. Chaplygina.

Additional information

Russian Text © The Author(s), 2019, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2019, Vol. 74, No. 3, pp. 72–75.

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Karapetyan, A.V., Chaplygina, M.P. Bifurcation Analysis of Gyroscope Dynamics in a Gimbal Suspension. Moscow Univ. Mech. Bull. 74, 75–78 (2019). https://doi.org/10.3103/S0027133019030051

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  • DOI: https://doi.org/10.3103/S0027133019030051

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