Bifurcation dynamics in discrete-time delayed-feedback control systems

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 9, Issue 1, 1999, Pages 287-293

  Chen, Guanrong ^a   Lu, Jialiang ^a   Nicholas, Brent ^a   Ranganathan, Swatiprakash M ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032623009     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/s021812749900016x     Document Type: Article

References (19)

1. Bleich, M. E. & Socolar, J. E. S. [1996] "Stability of periodic orbits controlled by time-delayed feedback," Phys. Lett. A210, 87-94.
2. Bleich, M. E. & Socolar, J. E. S. [1996] "Controlling spatiotemporal dynamics with time-delayed feedback," Phys. Rev. E54, R17-R20.
3. Brandt, M. E. & Chen, G. [1996] "Controlling the dynamical behavior of a circle map model of the human heart," Biol. Cybern. 74, 1-8.
4. Brandt, M. E. & Chen, G. [1996] "Feedback control of a quadratic map model of cardiac chaos," Int. J. Bifurcation and Chaos 6, 715-723.
5. Brandt, M. E. & Chen, G. [1997] "Bifurcation control of two nonlinear models of cardiac activity," IEEE Trans. Circuit Syst. I 44, 1031-1034.
6. Brandt, M. E., Ademoǧlu, A., Lai, D. & Chen, G. [1996] "Autoregressive self-tuning feedback control of the Hénon map," Phys. Rev. E54, 6201-6206.
7. Chen, G. [1999] "Chaos, bifurcation, and their control," The Wiley Encyclopedia of Electrical and Electronics Engineering, ed. Webster, J. (Wiley, NY).
8. Chen, G. & Dong, X. [1998] From Chaos to Order: Methodologies, Perspectives, and Applications (World Scientific, Singapore).
9. Glendinning, P. [1994] Stability, Instability and Chaos (Cambridge Univ Press, NY).
10. Hikihara, T. [1996] "Controlling chaos for magnetoelastic beam by delayed feedback control," Proc. Int. Conf. Nonlinearly Bifurcation and Chaos, September 16-18 (Lodz-Dobieszkow, Poland).
11. Just, W., Bernard, T., Ostheimer, M., Reibold, E. & Benner, H. [1997] "Mechanism of time-delayed feedback control," Phys. Rev. Lett. 78, 203-206.
12. Kittel, A., Parisi, J. & Pyragas, K. [1995] "Delayed feedback control of chaos by self-adapted delay time," Phys. Lett. A198, 433-436.
13. Konishi, K., Ishii, M. & Kokame, H. [1996] "Stabilizing unstable periodic points of one-dimensional nonlinear systems using delayed-feedback signals," Phys. Rev. E54, 3455-3460.
14. Moiola, J. L. & Chen, G. [1996] Hopf Bifurcation Analysis: A Frequency Domain Approach (World Scientific, Singapore).
15. Pyragas, K. [1992] "Continuous control of chaos by self-controlling feedback," Phys. Lett. A170, 421-428.
16. Pyragas, K. [1995] "Control of chaos via extended delay feedback," Phys. Lett. A206, 323-330.
17. Pyragas, K. & Tamasevicius, A. [1993] "Experimental control of chaos by delayed self-controlling feedback," Phys. Lett. A180, 99-102.
18. Vieira, M. de S. & Lichtenberg, A. J. [1996] "Controlling chaos using nonlinear feedback with delay," Phy. Rev. E54, 1200-1207.
19. Yu, X. [1997] "Tracking inherent periodic orbits in chaotic systems via adaptive time delayed self-control," Proc. IEEE Int. Conf. Decision and Control, December 10-12 (San Diego, CA), pp. 401-405.