On stabilizability of the upper equilibrium of the asymmetrically excited inverted pendulum

Using purely elementary methods, necessary and sufficient conditions are given for the existence of $T$-periodic and $2T$-periodic solutions around the upper equilibrium of the mathematical pendulum when the suspension point is vibrating vertically with asymmetric high frequency. The equation of the...

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Bibliographic Details
Main Author: László Csizmadia
Format: Article
Language:English
Published: University of Szeged 2018-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6542

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