On the theory of a non-autonomous mathematical pendulum

Shevelo V. N.; Shtelik V. G.

Volume 71, № 11, 2019
(Current Issue)

2019

Том 71
№ 11

All Issues

Ukr. Mat. Zh.
Volume 14, № 4, 1962
pp. 372-382

On the theory of a non-autonomous mathematical pendulum

Shevelo V. N., Shtelik V. G.

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Abstract

The authors consider the equation of a nonlinear non-autonomous mathematical pendulum in various approximations from the viewpoint of oscillation, increase and damping of the amplitude and stability of the position of equilibrium; a classification of the motions is presented.

Citation Example: Shevelo V. N., Shtelik V. G. On the theory of a non-autonomous mathematical pendulum // Ukr. Mat. Zh. - 1962. - 14, № 4. - pp. 372-382.

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