Stability of vertical position of an inverted pendulum under action of support vibration as well as the attraction basin of this position is considered. In addition to the classic Kapitsa problem for the harmonic vibration of support, the poly-harmonic and random vibration of support is investigated. The condition of stability of vertical position is determined and the attraction basin of this stable position is studied.
Translated title of the contributionAttraction basins in the generalized Kapitsa’s problem
Original languageRussian
Pages (from-to)502-506
Number of pages5
JournalДОКЛАДЫ АКАДЕМИИ НАУК
Volume487
Issue number5
StatePublished - Aug 2019

    Research areas

  • GENERALIZED KAPITSA PROBLEM, Attraction basin, HARMONIC AND RANDOM EXCITATION, TWO-SCALE EXPANSION

ID: 47614355