Bifurcation Analysis of Gyroscope Dynamics in a Gimbal Suspension


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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.

About the authors

A. V. Karapetyan

Moscow State University, Faculty of Mechanics and Mathematics

Author for correspondence.
Email: avkarapetyan@yandex.ru
Russian Federation, Leninskie Gory, Moscow, 119899

M. P. Chaplygina

Moscow State University, Faculty of Mechanics and Mathematics

Author for correspondence.
Email: mariya14chaplygina@yandex.ru
Russian Federation, Leninskie Gory, Moscow, 119899

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