Abstract

The stability of the vertical position of an inverted pendulum under the action of support vibration and the attraction basin of this position are considered. In addition to the classical Kapitsa problem for the harmonic vibration of a support, the polyharmonic and random vibration of the support are investigated. The condition of stability of the vertical position is determined, and the attraction basin of this stable position is investigated.
Translated title of the contributionОбласти притяжения в обобщённой задаче Капицы
Original languageEnglish
Article number64(8)
Pages (from-to)335-339
Number of pages5
JournalDoklady Physics
Volume64
Issue number8
Early online date20 Sep 2019
DOIs
Publication statusPublished - 2019

Scopus subject areas

  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Computational Mechanics

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