Delayed feedback control of forced self-sustained oscillations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 2, 2005, Pages

  Pyragiene, T ^a   Pyragas, K ^a  

^a CENTER FOR PHYSICAL SCIENCES AND TECHNOLOGY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; ANALYTICAL THEORY; CONTROL FORCE; CONTROL GAIN;

CONTROL EQUIPMENT; FEEDBACK CONTROL; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES; SYNCHRONIZATION;

OSCILLATIONS;

EID: 27244450477     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.026203     Document Type: Article

References (29)

1. K. Pyragas, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(92)90745-8 170, 421 (1992).
2. Handbook of Chaos Control, edited by, H. G. Shuster, (Wiley-VCH, Weinheim, 1999).
3. K. Pyragas, in Synchronization: Theory and Application, edited by, A. Pikovsky, and, Yu. Maistrenko, (Kluwer, Dordrecht, 2003), pp. 187-219.
4. K. Pyragas and A. Tamaevičius, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(93)90501-P 180, 99 (1993);
5. A. Kittel, J. Parisi, K. Pyragas, and R. Richter, Z. Naturforsch., A: Phys. Sci. ZNASEI 0932-0784 49a, 843 (1994);
6. D. J. Gauthier, D. W. Sukow, H. M. Concannon, and J. E. S. Socolar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.2343 50, 2343 (1994);
7. P. Celka, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127494001313 4, 1703 (1994).
8. T. Hikihara and T. Kawagoshi, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00925-6 211, 29 (1996);
9. D. J. Christini, V. In, M. L. Spano, W. L. Ditto, and J. J. Collins, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.R3749 56, R3749 (1997).
10. S. Bielawski, D. Derozier, and P. Glorieux, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.R971 49, R971 (1994);
11. M. Basso, R. Genesio R, and A. Tesi, Syst. Control Lett. SCLEDC 0167-6911 10.1016/S0167-6911(97)00044-3 31, 287 (1997);
12. W. Lu, D. Yu, and R. G. Harrison, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127498001479 8, 1769 (1998).
13. T. Pierre, G. Bonhomme, and A. Atipo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.2290 76, 2290 (1996);
14. E. Gravier, X. Caron, G. Bonhomme, T. Pierre, and J. L. Briancon, Eur. Phys. J. D EPJDF6 1434-6060 10.1007/s100530050055 8, 451 (2000);
15. Th. Mausbach, Th. Klinger, A. Piel, A. Atipo, Th. Pierre, and G. Bonhomme, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00151-5 228, 373 (1997).
16. T. Fukuyama, H. Shirahama, and Y. Kawai, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.1513469 9, 4525 (2002).
17. O. Lüthje, S. Wolff, and G. Pfister, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1745 86, 1745 (2001).
18. P. Parmananda, R. Madrigal, M. Rivera, L. Nyikos, I. Z. Kiss, and V. Gaspar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.5266 59, 5266 (1999);
19. A. Guderian, A. F. Munster, M. Kraus, and F. W. Schneider, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp980997g 102, 5059 (1998).
20. H. Benner and W. Just, J. Korean Phys. Soc. KPSJAS 0374-4884 40, 1046 (2002).
21. J. M. Krodkiewski and J. S. Faragher, J. Sound Vib. JSVIAG 0022-460X 10.1006/jsvi.1999.2878 234, 591 (2000).
22. K. Hall, D. J. Christini, M. Tremblay, J. J. Collins, L. Glass, and J. Billette, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.4518 78, 4518 (1997).
23. J. E. S. Socolar, D. W. Sukow, and D. J. Gauthier, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.3245 50, 3245 (1994).
24. K. Pyragas, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00654-L 206, 323 (1995).
25. K. Pyragas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2265 86, 2265 (2001).
26. K. Pyragas, V. Pyragas, and H. Benner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056222 70, 056222 (2004).
27. H. Nakajima, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00362-9 232, 207 (1997).
28. W. Just, T. Bernard, M. Ostheimer, E. Reibold, and H. Benner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.203 78, 203 (1997).
29. K. Pyragas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.026207 66, 026207 (2002).