Research output: Contribution to journal › Article › peer-review
Attraction Basins in the Generalized Kapitsa Problem. / Morozov, N.F.; Belyaev, A.K.; Tovstik, P.E.; Tovstik, T.M.; Tovstik, T.P.
In: Doklady Physics, Vol. 64, No. 8, 64(8), 2019, p. 335-339.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Attraction Basins in the Generalized Kapitsa Problem
AU - Morozov, N.F.
AU - Belyaev, A.K.
AU - Tovstik, P.E.
AU - Tovstik, T.M.
AU - Tovstik, T.P.
N1 - Morozov, N.F., Belyaev, A.K., Tovstik, P.E. et al. Dokl. Phys. (2019) 64: 335. https://doi.org/10.1134/S1028335819080056
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - physics
KW - Attraction basin
KW - Harmonic vibration
KW - inverted pendulum
KW - Random vibrations
KW - Vertical positions
KW - mechanical properties
KW - VERTICAL ROD
KW - STABILITY
UR - https://link.springer.com/article/10.1134/S1028335819080056
UR - http://www.scopus.com/inward/record.url?scp=85073374366&partnerID=8YFLogxK
UR - http://www.mendeley.com/research/attraction-basins-generalized-kapitsa-problem
U2 - 10.1134/S1028335819080056
DO - 10.1134/S1028335819080056
M3 - Article
VL - 64
SP - 335
EP - 339
JO - Doklady Physics
JF - Doklady Physics
SN - 1028-3358
IS - 8
M1 - 64(8)
ER -
ID: 47614635