Application of a Rank-One Perturbation to Pendulum Systems
Traor´e. G. Y. Arouna,
M. Dosso and
J.-C. Koua Brou
Journal of Mathematics Research, 2020, vol. 12, issue 5, 47
From a perturbation theory proposed by Mehl, et al., a study of the rank-one perturbation of the problems governed by pendulum systems is presented. Thus, a study of motion of the simple pendulum, double and triple pendulums with oscillating support, not coupled as coupled by a spring and double pendulum with fixed support is proposed. Finally (strong) stability and instability zones are calculated for each studied system.
JEL-codes: R00 Z0 (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:12:y:2020:i:5:p:47
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