Control of synchronization in delay-coupled networks

International Journal of Modern Physics B

Volumn 26, Issue 25, 2012, Pages

  SchOll E ^a   Selivanov, A ^b   Lehnert, J ^a   Dahms, T ^a   HOvel P ^a,c   Fradkov, A ^b,d  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^c HUMBOLDT UNIVERSITY   (Germany)

^d INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

Author keywords

delay; Hopf normal forms; networks; Synchronization

Indexed keywords

EID: 84866004919     PISSN: 02179792     EISSN: 17936578     Source Type: Journal    
DOI: 10.1142/S0217979212460071     Document Type: Conference Paper

References (26)

1. E. Schöll and H. G. Schuster, Handbook of Chaos Control, (Wiley-VCH, Weinheim, 2008).
2. K. Pyragas, Phys. Lett. A 170, 421 (1992).
3. J. E. S. Socolar, D. W. Sukow and D. J. Gauthier, Phys. Rev. E 50, 3245 (1994).
4. V. Pyragas and K. Pyragas, Phys. Rev. E 73, 036215 (2006).
5. A. L. Fradkov, Autom. Remote Control 40, 1333 (1979).
6. A. L. Fradkov, Physics-Uspekhi 48, 103 (2005).
7. A. L. Fradkov, Cybernetical Physics: From Control of Chaos to Quantum Control (Springer, Heidelberg, Germany, 2007).
8. J. Lehnert, P. Hövel, V. Flunkert, P. Y. Guzenko, A. L. Fradkov and E. Schöll, Chaos 21, 043111 (2011).
9. M. Kehrt, P. Hövel, V. Flunkert, M. A. Dahlem, P. Rodin and E. Schöll, Eur. Phys. J. B 68, 557 (2009).
10. P. Hövel, M. A. Dahlem and E. Schöll, Int. J. Bifur. Chaos 20, 813 (2010).
11. V. Flunkert, S. Yanchuk, T. Dahms and E. Schöll, Phys. Rev. Lett. 105, 254101 (2010).
12. I. Omelchenko, Y. L. Maistrenko, P. Hövel and E. Schöll, Phys. Rev. Lett. 106, 234102 (2011).
13. G. Brown, C. M. Postlethwaite and M. Silber, Physica D 240, 859 (2011).
14. C. U. Choe, T. Dahms, P. Hövel and E. Schöll, Phys. Rev. E 81, 025205(R) (2010).
15. C. U. Choe, T. Dahms, P. Hövel and E. Schöll, in Proc. 8th AIMS Int. Conf. on Dyn. Systems, Diff. Eqs. and Appl. (American Institute of Mathematical Sciences, Springfield, MO, USA, 2011), pp. 292-301, DCDS Supplement Sept. 2011.
16. S. Schikora, P. Hövel, H. J. Wünsche, E. Schöll and F. Henneberger, Phys. Rev. Lett. 97, 213902 (2006).
17. V. Flunkert and E. Schöll, Phys. Rev. E 76, 066202 (2007).
18. B. Fiedler, V. Flunkert, M. Georgi, P. Hövel and E. Schöll, Phys. Rev. Lett. 98, 114101 (2007).
19. S. Schikora, H. J. Wünsche and F. Henneberger, Phys. Rev. E 83, 026203 (2011).
20. V. Flunkert and E. Schöll, Phys. Rev. E 84, 016214 (2011).
21. V. Flunkert and E. Schöll, New. J. Phys. (2012), arXiv:1111.5131v1.
22. K. Pyragas and T. Pyragiene, Phys. Rev. E 78, 046217 (2008).
23. J. Lehnert, T. Dahms, P. Hövel and E. Schöll, EPL 96, 60013 (2011).
24. A. A. Selivanov, J. Lehnert, T. Dahms, P. Hövel, A. L. Fradkov and E. Schöll, Phys. Rev. E 85, 016201 (2012).
25. C. Hauptmann, O. Omelćhenko, O. V. Popovych, Y. L. Maistrenko and P. A. Tass, Phys. Rev. E 76, 066209 (2007).
26. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 80, 2109 (1998).