Ge Zheng-ming. Some Theorems for Determining the Definiteness and Changeability of Sign of Functions and the Application to the Conditional Stability of the Motion of the Axis of a Sleeping Top[J]. Applied Mathematics and Mechanics, 1981, 2(6): 689-696.
Citation:
Ge Zheng-ming. Some Theorems for Determining the Definiteness and Changeability of Sign of Functions and the Application to the Conditional Stability of the Motion of the Axis of a Sleeping Top[J]. Applied Mathematics and Mechanics, 1981, 2(6): 689-696.
Ge Zheng-ming. Some Theorems for Determining the Definiteness and Changeability of Sign of Functions and the Application to the Conditional Stability of the Motion of the Axis of a Sleeping Top[J]. Applied Mathematics and Mechanics, 1981, 2(6): 689-696.
Citation:
Ge Zheng-ming. Some Theorems for Determining the Definiteness and Changeability of Sign of Functions and the Application to the Conditional Stability of the Motion of the Axis of a Sleeping Top[J]. Applied Mathematics and Mechanics, 1981, 2(6): 689-696.
Some Theorems for Determining the Definiteness and Changeability of Sign of Functions and the Application to the Conditional Stability of the Motion of the Axis of a Sleeping Top
This paper gives some theorems for determining the definiteness and changeability of sign of functions as well as the application to the axis of a sleeping top. The necessary and sufficient condition of the conditional stability of the motion is obtained, which coincides with that of the stability of nutation angle and also with that of the stability of total variables in the equations of motion.
DownLoad: