heavy gyrostat
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Rapid rotation of a heavy gyrostat about a fixed point in a resisting medium

1982 ◽  
Vol 18 (7) ◽  
pp. 660-665 ◽  
Author(s):  
L. D. Akulenko ◽  
D. D. Leshchenko
Keyword(s):  
Fixed Point ◽  
Rapid Rotation ◽  
Resisting Medium ◽  
Heavy Gyrostat

On the Stability of Steady Motions in Free and Restrained Dynamical Systems

1979 ◽  
Vol 46 (2) ◽  
pp. 427-432 ◽  
Author(s):  
P. Hagedorn
Keyword(s):  
Dynamical Systems ◽  
Stability Behavior ◽  
Stability And Instability ◽  
Heavy Gyrostat ◽  
The Stability ◽  
Steady Motions

In this paper the stability of the steady motions of dynamical systems with ignorable coordinates is considered. In addition to the original “free” systems “restrained” systems are defined in such a way that the ignorable velocities remain constant for all motions. The relation between the stability behavior of these two types of systems is examined in detail and several stability and instability theorems are given for damped and undamped systems. An illustrative example deals with the steady motions of a heavy gyrostat.

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