On Periodic Solutions of One Second-Order Differential Equation

被引：0
|
作者：
Demidenko G.V. [1 ]
Dulepova A.V. [2 ]
机构：
[1] Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
[2] Novosibirsk State University, Novosibirsk
来源：
Journal of Mathematical Sciences | 2024年 / 278卷 / 2期
关键词：
asymptotical stability; inverted pendulum; periodic solution; second-order differential equation;
D O I：
10.1007/s10958-024-06922-7
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the motion of an inverted pendulum, the suspension point of which performs high-frequency oscillations along a line making a small angle with the vertical. We prove that under certain conditions on the function describing the oscillations of the suspension point of the pendulum, a periodic motion of the pendulum arises, and it is asymptotically stable. © 2024, Springer Nature Switzerland AG.
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页码：314 / 327
页数：13
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