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Эта публикация цитируется в 7 научных статьях (всего в 7 статьях)
Parametric Stability of a Charged Pendulum
with an Oscillating Suspension Point
Gerson Cruz Araujoa, Hildeberto E. Cabralb a Departamento de Matemática, Universidade Federal de Sergipe,
49100-000 Sao Cristovao, SE, Brazil
b Departamento de Matemática, Universidade Federal de Pernambuco,
50670-901 Recife, PE, Brazil
Аннотация:
We consider a planar pendulum with an oscillating suspension point and with the bob
carrying an electric charge $q$. The pendulum oscillates above a fixed point with a charge $Q.$ The dynamics is studied as a system in the small parameter $\epsilon$ given by the amplitude of the suspension point. The system depends on two other parameters, $\alpha$ and $\beta,$ the first related to the frequency of
the oscillation of the suspension point and the second being the ratio of charges. We study the parametric
stability of the linearly stable equilibria and use the Deprit - Hori
method to construct the boundary surfaces of the stability/instability regions.
Ключевые слова:
charged pendulum, parametric stability, boundary surfaces of stability, Hamiltonian
system.
Поступила в редакцию: 13.09.2020 Принята в печать: 14.12.2020
Образец цитирования:
Gerson Cruz Araujo, Hildeberto E. Cabral, “Parametric Stability of a Charged Pendulum
with an Oscillating Suspension Point”, Regul. Chaotic Dyn., 26:1 (2021), 39–60
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1101 https://www.mathnet.ru/rus/rcd/v26/i1/p39
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