@article{ijp20241212,
author={{Pomalegni, G. F. and Aguessivognon, J. M. and Miwadinou, C. H. and Monwanou, A. V.},
title={Chaotic Synchronization of a Symmetric Gyroscope Excited by a Biharmonic Force},
journal={International Journal of Physics},
volume={12},
number={1},
pages={19--33},
year={2024},
url={https://pubs.sciepub.com/ijp/12/1/2},
issn={2333-4576},
abstract={This work analyzes the chaotic dynamics and the chaotic synchronization and their control in the complex dynamics of a rotating gyroscope modeled following Euler angles using the Lagrange approach. It is obtained for appropriate conditions the chaotic dynamics and its control using the four order Runge-Kutta algorithm. By the backstepping method, the chaotic synchronization conditions of two gyroscopes are obtained by building a Lyapunov function and numerical simulations. The study also pointed out that the first integrals of the moments of inertia of the gyroscope influence the chaotic dynamics and the chaotic synchronization. The analysis of the effects of the amplitudes and frequencies of this excitation makes it possible to find the best areas where the control and synchronization are effective.},
doi={10.12691/ijp-12-1-2}
publisher={Science and Education Publishing}
}