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 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 re- gions of asymptotic stability are obtained.The related bifurcation phenomena are discussed in detail.展开更多
基金The project is supported by the National Natural Science Foundation of China
文摘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 re- gions of asymptotic stability are obtained.The related bifurcation phenomena are discussed in detail.
