Ge, Zheng-Ming; Lin, T.-N. Chaos, chaos control and synchronization of a gyrostat system. (English) Zbl 1237.70019 J. Sound Vib. 251, No. 3, 519-542 (2002). Summary: The dynamic behavior of a gyrostat system subjected to external disturbance is studied in this paper. By applying numerical results, phase diagrams, power spectrum, period-T maps, and Lyapunov exponents are presented to observe periodic and choatic motions. The effect of the parameters changed in the system can be found in the bifurcation and parametric diagrams. For global analysis, the basins of attraction of each attractor of the system are located by employing the modified interpolated cell mapping (MICM) method. Several methods, the delayed feedback control, the addition of constant torque, the addition of periodic force, the addition of periodic impulse torque, injection of dither signal control, adaptive control algorithm (ACA) control and bang-bang control are used to control chaos effectively. Finally, synchronization of chaos in the gyrostat system is studied. Cited in 13 Documents MSC: 70E05 Motion of the gyroscope 34H10 Chaos control for problems involving ordinary differential equations 70-08 Computational methods for problems pertaining to mechanics of particles and systems 93C10 Nonlinear systems in control theory 70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics PDFBibTeX XMLCite \textit{Z.-M. Ge} and \textit{T. N. Lin}, J. Sound Vib. 251, No. 3, 519--542 (2002; Zbl 1237.70019) Full Text: DOI