Double degeneracy and chaos in a rate gyro with feedback control

Journal of Sound and Vibration

Volumn 209, Issue 5, 1998, Pages 753-769

  Ge, Z M ^a   Chen, H H ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000389729     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1281     Document Type: Article

References (11)

1. S. N. SINGH 1983 IEEE Transactions on Aerospace and Electronic Systems AES-19, 182-189. Stability of gyro with harmonic nonlinearity in spinning vehicle.
2. Z. M. GE and C. J. CHEN 1992 AIAA Journal of Guidance, Control, and Dynamics 15, 1034-1036. Stability of a rate gyro.
3. Z. M. GE and H. H. CHEN 1996 Journal of Sound and Vibration 194, 107-117. Bifurcations and chaos in a rate gyro with harmonic excitation.
4. P. HOLMES 1985 Trans. ASME J. Dyn. Sys. Meas. Control 107, 159-165. Dynamics of a nonlinear oscillator with feedback control I: local analysis.
5. K. YAGASAKI 1994 Nonlinear Dynamics 6, 125-142. Chaos in a pendulum with feedback control.
6. G. X. LI and M. P. PAIDOUSSIS 1949 International Non-Linear Mechanics 29, 83-107. Stability, double degeneracy and chaos in cantilevered pipes conveying fluid.
7. S. WIGGINS 1988 Global Bifurcations and Chaos. New York: Springer-Verlag.
8. J. GUCKENHEIMER and P. HOLMES 1986 Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields. New York: Springer-Verlag.
9. R. LIMA and M. PETTINI 1990 Physical Review A 41, 726-733. Suppression of chaos by resonant parametric perturbations.
10. L. MEIROVITCH 1970 Method of Analytical Dynamics. New York: McGraw-Hill.
11. J. CARR 1981 Application of Center Manifold Theory. New York: Springer-Verlag.