对称重陀螺的非线性稳定性及分叉
NONLINEAR STABILITY AND BIFURCATIONS OF AXISYMMETRIC HEAVY (GYROSCOPE
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摘要: 本文在Movchan意义下给出对称重陀螺在完全耗散力作用下永久转动的非线性稳定准则,所涉及的某些平衡态是非孤立的,给出了Movchan意义下渐近稳定区的主要子域,并详细地讨论了分叉现象。Abstract: In this paper, the nonlinear stability criteria in the sense of Movchan for the permanent rotations of axisymmetric heavy gyroscopes in the presence of perfect dissipa-tive force are given. The main subdomains of the regions of asympototic stability are given and the bifurcation phenomena are discussed in detail.
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