Acta Mechanica Sinica

, Volume 6, Issue 2, pp 180–187 | Cite as

Nonlinear stability and bifurcations of symmetric heavy gyroscope

  • Zhu Ruzeng


The complete solutions of the upright and oblique permanent rotations of a symmetric heavy gyroscope with perfect dissipation are given. The asymptotic stability criteria and unstability criteria for these rotations in the sense of Liapunov and the sense of Movchan are also given on the basis of exact nonlinear motion equations respectively. The related oblique rotations are non-isolated. The main subdomains of the regions of asymptotic stability are obtained. The related bifurcation phenomena are discussed in detail.

Key Words

heavy gyroscope nonlinear stability bifurcation dissipative force 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1990

Authors and Affiliations

  • Zhu Ruzeng
    • 1
  1. 1.Institute of MechanicsAcademia SinicaBeijingChina

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