Abstract—

This article is the second part of the work, published in the form of two articles. The case, which remained unexplored in the first part, is considered, when for an unperturbed value of the constant of the cyclic integral, the mechanical reduced potential energy is constant with respect to the internal cardan angle. It is proved that in this case, for the majority of device designs, instability of all stationary solutions of the equations of motion takes place. It follows from the results obtained that for most device designs the presence of an isolated minimum of the total reduced potential energy is a necessary and sufficient condition for the stability of any stationary solution of the equations of motion.

中文翻译：

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万向节中同步陀螺仪多电流模型方程固定解的稳定性判据。2个

摘要-

本文是工作的第二部分，以两篇文章的形式发布。考虑了在第一部分中尚未探索的情况，当对于循环积分常数的不变值，机械减小的势能相对于内万向角恒定时。事实证明，在这种情况下，对于大多数设备设计而言，运动方程的所有固定解都是不稳定的。从获得的结果可以得出，对于大多数设备设计而言，总的减小的势能的孤立最小值是运动方程任何平稳解的稳定性的必要和充分条件。