On the stability of a plane gyroscopic pendulum
DOI:
https://doi.org/10.15407/dopovidi2015.04.042Keywords:
differential equations, gyroscopic pendulum, stabilityAbstract
The stability of a plane gyroscopic pendulum is considered. The system of differential equations of perturbed motion with impulsive action, using the special changes of variables, is reduced to a linear system of ordinary differential equations with constant coefficients. The conditions of existence of the parametric resonance of plane gyroscopic pendulum’s oscillations are obtained.
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