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

Abstract: 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.

Date: 2020
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