Influence of stable Floquet exponents on time-delayed feedback control

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 5, 2000, Pages 5045-5056

  Just, Wolfram ^a   Reibold, Ekkehard ^b   Kacperski, Krzysztof ^b,c   Fronczak, Piotr ^b,d   Hołyst, Janusz A ^c,d   Benner, Hartmut ^b  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^c MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^d WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEAR STABILITY ANALYSIS; LYAPUNOV METHODS; TIME DELAY;

ANALYTICAL APPROXIMATION; CONTROL PROPERTIES; EIGENVALUE SPECTRA; ELECTRONIC CIRCUIT EXPERIMENTS; FLOQUET EXPONENTS; LYAPUNOV EXPONENT; STABILITY PROPERTIES; TIME-DELAYED FEEDBACK;

FEEDBACK CONTROL;

EID: 0000767198     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.5045     Document Type: Article

References (20)

1. K. Pyragas, Phys. Lett. A 170, 421 (1992).
2. T. Hikihara and T. Kawagoshi, Phys. Lett. A 211, 29 (1996).
3. K. Pyragas and A. Tamasevicius, Phys. Lett. A 180, 99 (1993).
4. S. Bielawski, D. Derozier, and P. Glorieux, Phys. Rev. E 49, R971 (1994).
5. T. Pierre, G. Bonhomme, and A. Atipo, Phys. Rev. Lett. 76, 2290 (1996).
6. T. Bernard, R. Henn, W. Just, E. Reibold, F. Rödelsperger, and H. Benner, in Nonlinear Microwave Signal Processing: Towards a New Range of Devices, edited by R. Marcelli (Kluwer, Dordrecht, 1996), p. 373.
7. W. Just, T. Bernard, M. Ostheimer, E. Reibold, and H. Benner, Phys. Rev. Lett. 78, 203 (1997).
8. H. Nakajima, Phys. Lett. A 232, 207 (1997).
9. A. Kittel, J. Parisi, and K. Pyragas, Phys. Lett. A 198, 433 (1995).
10. W. Just, D. Reckwerth, J. Möckel, E. Reibold, and H. Benner, Phys. Rev. Lett. 81, 562 (1998).
11. W. Just, E. Reibold, H. Benner, K. Kacperski, P. Fronczak, and J. Hołyst, Phys. Lett. A 254, 158 (1999).
12. W. Just, D. Reckwerth, E. Reibold, and H. Benner, Phys. Rev. E 59, 2826 (1999).
13. J.E.S. Socolar, D.W. Sukow, and D.J. Gauthier, Phys. Rev. E 50, 3245 (1994).
14. H. Nakajima and Y. Ueda, Phys. Rev. E 58, 1757 (1998).
15. H.G. Schuster and M.P. Stemmler, Phys. Rev. E 56, 6410 (1997).
16. Handbook of Chaos Control, edited by H.G. Schuster (Wiley-VCH, Berlin, 1999).
17. M.E. Bleich and J.E.S. Socolar, Phys. Lett. A 210, 87 (1996).
18. K. Pyragas, Phys. Lett. A 206, 323 (1995).
19. R. Bellman and K. L. Cooke, Differential-Difference Equations (Academic, New York, 1963).
20. J. K. Hale and S. M. Verduyn Lunel, Introduction to Functional Differential Equations (Springer, New York, 1993).