Isochronous synchronization in mutually coupled chaotic circuits

Chaos

Volumn 17, Issue 2, 2007, Pages

  Wagemakers, Alexandre ^a   Buldú, Javier M ^a   Sanjuán, Miguel A F ^a  

^a UNIVERSIDAD REY JUAN CARLOS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547320424     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2737820     Document Type: Article

References (29)

1. L. M. Pecora and T. L. Carroll, " Synchronization in chaotic systems., " Phys. Rev. Lett. 64, 821-824 (1990).
2. A. S. Pikovsky, M. G. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
3. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, " The synchronization of chaotic systems., " Phys. Rep. 366, 1-101 (2002).
4. L. Kocarev, K. S. Halle, K. Eckert, L. O. Chua, and U. Parlitz, " Experimental demonstration of secure communications via chaotic synchronization., " Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 709-713 (1992).
5. K. M. Cuomo and A. V. Oppenheim, " Circuit implementation of synchronized chaos with applications to communications., " Phys. Rev. Lett. 71, 65-68 (1993).
6. J. M. Montoya and R. V. Soĺ, " Small world patterns in food webs., " J. Theor. Biol. 214, 405-412 (2002).
7. M. E. J. Newman, " The structure and function of complex networks., " SIAM Rev. 45, 167-256 (2003).
8. J. Hoffmeyer, " The swarming body., " in Semiotics Around the World. Proceedings of the Fifth Congress of the International Association for Semiotic Studies, Berkeley, CA, 1994, edited by, Irmengard Rauch, and, Gerald F. Carr,, pp. 933-936.
9. B. B. Zhou and R. Roy, " Isochronal synchrony and bidirectional communication with delay-coupled nonlinear oscillators., " e-print arXiv:nlin.CD/0610024.
10. F. M. Atay, J. Jost, and A. Wende, " Delays, connection topology, and synchronization of coupled chaotic maps., " Phys. Rev. Lett. 92, 144101 (2004).
11. C. Masoller and A. C. Marti, " Random delays and the synchronization of chaotic maps., " Phys. Rev. Lett. 94, 134102 (2005).
12. I. Fischer, R. Vicente, J. M. Buldú, M. Peil, M. C. Torrent, C. R. Mirasso, and J. García-Ojalvo, " Zero-lag long-range synchronization via dynamical relaying., " Phys. Rev. Lett. 97, 123902 (2006).
13. A. Cho, " Bizarrely, adding delay to delay produces synchronization., " Science 314, 5796 (2006).
14. M. P. Kennedy, " Robust OP amp realization of Chua's circuit., " Frequenz 46, 66-80 (1992).
15. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, " From phase to lag synchronization in coupled chaotic oscillators., " Phys. Rev. Lett. 78, 4193 (1997).
16. H. U. Voss, " Anticipating chaotic synchronization., " Phys. Rev. E 61, 5115 (2000).
17. C. Masoller, " Anticipation in the synchronization of chaotic semiconductor lasers with optical feedback., " Phys. Rev. Lett. 86, 2782 (2001).
18. D. Y. Tang and N. R. Heckenberg, " Synchronization of mutually coupled chaotic systems., " Phys. Rev. E 55, 6618-6623 (1997).
19. S. Taherion and Y.-C. Lai, " Experimental observation of lag synchronization in coupled chaotic systems., " Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 2587-2592 (2000).
20. B. Canna and S. Cincotti, " Hyperchaotic behaviour of two bidirectionally coupled Chua's circuits., " Int. J. Circuit Theory Appl. 30, 625-637 (2002).
21. I. Gomes da Silva, S. Montes, F. d'Ovidio, R. Toral, and C. Mirasso, " Coherent regimes of mutually coupled Chua circuits., " Phys. Rev. E 73, 036203 (2006).
22. I. G. Da Silva, J. M. Buldú, C. R. Mirasso, and J. García-Ojalvo, " Synchronization by dynamical relaying in electronic circuit arrays., " Chaos 16, 043113 (2006).
23. J. C. Sprott, " A new class of chaotic circuit., " Phys. Lett. A 266, 19-23 (2000).
24. T. Heil, I. Fischer, W. Elsässer, J. Mulet, and C. R. Mirasso, " Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers., " Phys. Rev. Lett. 86, 795-798 (2001).
25. J. Mulet, C. R. Mirasso, and T. I. Fischer, " Synchronization scenario of two distant mutually coupled semiconductor lasers., " J. Opt. Soc. Am. B 6, 97 (2004).
26. H-J. Wünsche, S. Bauer, J. Kreissl, O. Ushakov, N. Korneyev, F. Henneberger, E. Wille, H. Erzgräber, M. Peil, W. Elsäßer, and I. Fischer, " Synchronization of delay-coupled oscillators: A study on semiconductor lasers., " Phys. Rev. Lett. 94, 163901 (2005).
27. L. B. Shaw, I. B. Schwartz, E. A. Rogers, R. Roy, " Synchronization and time shifts of dynamical patterns for mutually delay-coupled fiber ring lasers., " Chaos 16, 015111 (2006).
28. D. V. R. Reddy, A. Sen, and G. L. Johnston, " Time delay induced death in coupled limit cycle oscillators., " Phys. Rev. Lett. 80, 5109-5112 (1998).
29. D. Chawla, K. J. Friston, and E. D. Lumer, " Zero-lag synchronous dynamics in triplets of interconnected cortical areas., " Neural Networks 14, 727-735 (2001).