Pomalegni, G.F. ; Nourou, Y. ; Miwadinou, Clément ; Monwanou, Vincent A.
This paper analyzes the chaos and coexistence of attractors of a heavy gyroscope with parametric nonlinear damping. After having found the mathematical model of the dynamics, we used the multiple scale technique to look for secondary resonances. Subsequently, the amplitude of the harmonic oscillations is determined based on the harmonic balance technique. Impact of each of the system parameters is analyzed on the amplitudes and frequency of resonances. ; By applying order four Runge-Kutta algorithm, the different dynamics of the gyroscope are determined and analyzed. Subharmonic resonances and harmonic oscillations are derived from the limited development the basic equation solved numerically to investigate the dynamics and coexistence of the gyroscope attractors. The analysis of impact of each parameter on the existence and disappearance of coexisting attractors is done numerically.
Zielona Góra: Uniwersytet Zielonogórski
IJAME, volume 30, number 1 (2025)
Biblioteka Uniwersytetu Zielonogórskiego
2025-03-11
2025-03-11
0
https://zbc.uz.zgora.pl/repozytorium/publication/93070
Nazwa wydania | Data |
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Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping | 2025-03-11 |
Lihonou, Toha François Monwanou, Vincent A. Miwadinou, Clément Chabi Orou, Jean Bio Jurczak, Paweł - red.
Ali Khan, Mohammad Jurczak, Paweł - red.
Margielewicz, Jerzy Wojnarowski, Józef Zawiślak, Stanisław Jurczak, Paweł - red.
Bashkirtseva, Irina Ryashko, Lev Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Kpossa, Gbedodé Mathieu Monwanou, Vincent A. Jurczak, Paweł - red.
Das, Alaka Kumar, Krishna Jurczak, Paweł - red.
Mitkowski, Paweł J. Mitkowski, Wojciech (1946- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Korus, Łukasz Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.