The dynamic behavior of electro-mechanical 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 chaotic motions. The effect of the paramet
CHAOS, CHAOS CONTROL AND SYNCHRONIZATION OF A GYROSTAT SYSTEM
β Scribed by Z.-M. GE; T.-N. LIN
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 849 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
β¦ Synopsis
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-ΒΉ maps, and Lyapunov exponents are presented to observe periodic and choatic motions. The e!ect 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 modi"ed 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 e!ectively. Finally, synchronization of chaos in the gyrostat system is studied.
π SIMILAR VOLUMES
## Abstract In this work we numerically investigate the nonlinear dynamics of the Colpitts oscillator. Bifurcation diagrams of consecutive plots of the values of electrical current minima are presented, according to the circuit parameters. By following observerβbased synchronization, two identical
The dynamic behavior of a symmetric gyro with linear-plus-cubic damping, which is subjected to a harmonic excitation, is studied in this paper. The Liapunov direct method has been used to obtain the su$cient conditions of the stability of the equilibrium points of the system. By applying numerical r
Cavalieri & KocΒΈak (1994) presented a non-spatial theoretical model of the dynamics of European corn borer (ECB) populations that included the effects of biological control agents. They showed that certain combinations of parameters could generate chaotic dynamics in the population. Recently, other