Resonances of a Harmonically Forced Duffing Oscillator with Time Delay State Feedback

Nonlinear Dynamics

Volumn 15, Issue 4, 1998, Pages 311-327

  Hu, Haiyan ^a   Dowell, Earl H ^b   Virgin, Lawrence N ^b  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

^b Duke University   (United States)

Author keywords

Periodic motion; Stability; Time delay; Vibration control

Indexed keywords

APPROXIMATION THEORY; DAMPING; FEEDBACK CONTROL; NUMERICAL ANALYSIS; OSCILLATIONS; RESONANCE; VIBRATION CONTROL;

HARMONIC RESONANCE; PERIODIC MOTION; TIME DELAY;

DYNAMICS;

EID: 0032048711     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008278526811     Document Type: Article

References (9)

1. Hale, J., Theory of Functional Differential Equations, Springer-Verlag, New York, 1977.
2. Gopalsamy, K., Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer, Dordrecht, 1992.
3. Diekmann, O., van Gils, S. A., Verduyn Lunel, S. M., and Walther, H.-O., Delay Equations, Functional, Complex, and Nonlinear Analysis, Springer-Verlag, New York, 1995.
4. Belair, J. and Campbell, S. A., 'Stability and bifurcation of equilibria in a multi-delayed differential equation', SIAM Journal on Applied Mathematics 54(5), 1994, 1402-1424.
5. Palkovics, L. and Venhovens, P. J. Th., 'Investigation on stability and possible chaotic motions in the controlled wheel suspension system', Vehicle System Dynamics 21(5), 1992, 269-296.
6. Stepan, G. and Haller, G., 'Quasiperiodic oscillations in robot dynamics', Nonlinear Dynamics 8(4), 1995, 513-528.
7. Moiola, J. L., Chiacchiarini, H. G., and Desages, A. C., 'Bifurcations and Hopf degeneracies in nonlinear feedback systems with time delay', International Journal of Bifurcation and Chaos 6(4), 1996, 661-672.
8. Plaut, R. H. and Hsieh, J. C., 'Non-linear structural vibrations involving a time delay in damping', Journal of Sound and Vibration 117(3), 1987, 497-510.
9. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979.