Email this article Attraction Basins in the Generalized Kapitsa Problem
- Authors: Morozov N.F.1, Belyaev A.K.2, Tovstik P.E.1, Tovstik T.M.1, Tovstik T.P.2
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Affiliations:
- St. Petersburg State University
- Institute for Problems in Mechanical Engineering, Russian Academy of Sciences
- Issue: Vol 64, No 8 (2019)
- Pages: 335-339
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/193584
- DOI: https://doi.org/10.1134/S1028335819080056
- ID: 193584
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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.
About the authors
N. F. Morozov
St. Petersburg State University
Author for correspondence.
Email: morozov@nm1016.spb.edu
Russian Federation, St. Petersburg,
199034
A. K. Belyaev
Institute for Problems in Mechanical Engineering, Russian Academy of Sciences
Email: tovstik_t@mail.ru
Russian Federation, St. Petersburg, 199178
P. E. Tovstik
St. Petersburg State University
Email: tovstik_t@mail.ru
Russian Federation, St. Petersburg,
199034
T. M. Tovstik
St. Petersburg State University
Email: tovstik_t@mail.ru
Russian Federation, St. Petersburg,
199034
T. P. Tovstik
Institute for Problems in Mechanical Engineering, Russian Academy of Sciences
Author for correspondence.
Email: tovstik_t@mail.ru
Russian Federation, St. Petersburg, 199178
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