ESTABILIDADE PARAMÉTRICA DE UM PÊNDULO CARREGADO PRÓXIMO A UM FIO CARREGADO OSCILANTE
DOI:
https://doi.org/10.34179/revisem.v8i3.18859Abstract
In this paper, we study the dynamics of a planar mathematical pendulum with an electrically charged bulb. Near the pendulum, there is an innitely long horizontal wire, also charged and harmonically oscillating in the vertical direction. The problem presents two vertical positions that are independent equilibria of the involved parameters. Using the Krein-Gelfand-Lidskii Theorem and the Deprit-Hori Method, we analyze the parametric stability of these equilibria, constructing boundary surfaces that separate regions of instability and stability in the parameter space.
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Copyright (c) 2023 José Laudelino de Menezes Neto, Adecarlos Costa Carvalho, Renata de Farias Limeira Carvalho
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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