Competition of synchronization domains in arrays of chaotic homoclinic systems

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

Volumn 68, Issue 6 2, 2003, Pages 662091-662095

  Leyva, I ^a,c   Allaria, E ^a   Boccaletti, S ^a   Arecchi, F T ^a,b  

^a ISTITUTO NAZIONALE DI OTTICA   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

^c UNIVERSIDAD REY JUAN CARLOS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ARRAYS; CARBON DIOXIDE LASERS; FREQUENCIES; INTERPOLATION; PERTURBATION TECHNIQUES; RUNGE KUTTA METHODS; SYNCHRONIZATION; TELECOMMUNICATION NETWORKS;

HOMOCLINIC SYSTEMS; INTERSPIKES INTERVALS (ISI);

CHAOS THEORY;

EID: 1442330381     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. For a review of the subject see A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001); S. Boccaletti, J. Kurths, G. Osipov, D. Valladares, and C. Zhou, Phys. Rep. 366, 1 (2002).
2. For a review of the subject see A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001); S. Boccaletti, J. Kurths, G. Osipov, D. Valladares, and C. Zhou, Phys. Rep. 366, 1 (2002).
3. C. Schafer, M.G. Rosemblum, J. Kurths, and H.H. Abel, Nature (London) 392, 239 (1998); G.D. Van Wiggeren and R. Roy, Science 279, 1198 (1998); B. Blasius, A. Huppert, and L. Stone, Nature (London) 399, 354 (1999).
4. C. Schafer, M.G. Rosemblum, J. Kurths, and H.H. Abel, Nature (London) 392, 239 (1998); G.D. Van Wiggeren and R. Roy, Science 279, 1198 (1998); B. Blasius, A. Huppert, and L. Stone, Nature (London) 399, 354 (1999).
5. C. Schafer, M.G. Rosemblum, J. Kurths, and H.H. Abel, Nature (London) 392, 239 (1998); G.D. Van Wiggeren and R. Roy, Science 279, 1198 (1998); B. Blasius, A. Huppert, and L. Stone, Nature (London) 399, 354 (1999).
6. C.M. Ticos, E. Rosa, Jr., W.B. Pardo, J.A. Walkenstein, and M. Monti, Phys. Rev. Lett. 85, 2929 (2000); D. Maza, A. Vallone, H. Mancini, and S. Boccaletti, ibid. 85, 5567 (2000).
7. C.M. Ticos, E. Rosa, Jr., W.B. Pardo, J.A. Walkenstein, and M. Monti, Phys. Rev. Lett. 85, 2929 (2000); D. Maza, A. Vallone, H. Mancini, and S. Boccaletti, ibid. 85, 5567 (2000).
8. E. Allaria, F.T. Arecchi, A. Di Garbo, and R. Meucci, Phys. Rev. Lett. 86, 791 (2001); S. Boccaletti, E. Allaria, R. Meucci, and F.T. Arecchi, ibid. 89, 194101 (2002).
9. E. Allaria, F.T. Arecchi, A. Di Garbo, and R. Meucci, Phys. Rev. Lett. 86, 791 (2001); S. Boccaletti, E. Allaria, R. Meucci, and F.T. Arecchi, ibid. 89, 194101 (2002).
10. S.H. Strogatz, R.E. Mirollo, and P.C. Matthews, Phys. Rev. Lett. 68, 2730 (1992); V.N. Belykh, I. Belykh, and E. Mosekilde, Phys. Rev. E 63, 036216 (2001).
11. S.H. Strogatz, R.E. Mirollo, and P.C. Matthews, Phys. Rev. Lett. 68, 2730 (1992); V.N. Belykh, I. Belykh, and E. Mosekilde, Phys. Rev. E 63, 036216 (2001).
12. V.N. Belykh and E. Mosekilde, Phys. Rev. E 54, 3196 (1996); A. Pikovsky, O. Popovych, and Yu. Maistrenko, Phys. Rev. Lett. 87, 044102 (2001).
13. V.N. Belykh and E. Mosekilde, Phys. Rev. E 54, 3196 (1996); A. Pikovsky, O. Popovych, and Yu. Maistrenko, Phys. Rev. Lett. 87, 044102 (2001).
14. S. Boccaletti, J. Bragard, F.T. Arecchi, and H. Mancini, Phys. Rev. Lett. 83, 536 (1999); L. Junge and U. Parlitz, Phys. Rev. E 62, 438 (2000).
15. S. Boccaletti, J. Bragard, F.T. Arecchi, and H. Mancini, Phys. Rev. Lett. 83, 536 (1999); L. Junge and U. Parlitz, Phys. Rev. E 62, 438 (2000).
16. L.P. Sil'nikov, Sov. Math. Dokl. 6, 163 (1965).
17. I.P. Mariño, E. Allaria, R. Meucci, S. Boccaletti, and F.T. Arecchi, Chaos 13, 286 (2003); C.S. Zhou, J. Kurths, E. Allaria, S. Boccaletti, R. Meucci, and F.T. Arecchi, Phys. Rev. E 67, 066220 (2003).
18. I.P. Mariño, E. Allaria, R. Meucci, S. Boccaletti, and F.T. Arecchi, Chaos 13, 286 (2003); C.S. Zhou, J. Kurths, E. Allaria, S. Boccaletti, R. Meucci, and F.T. Arecchi, Phys. Rev. E 67, 066220 (2003).
19. F.T. Arecchi, R. Meucci, E. Allaria, A. Di Garbo, and L.S. Tsimring, Phys. Rev. E 65, 046237 (2002).
20. R. Meucci, A. Di Garbo, E. Allaria, and F.T. Arecchi, Phys. Rev. Lett. 88, 144101 (2002).
21. R.C. Elson, A.I. Selverston, R. Huerta, N.F. Rulkov, M.I. Rabinovich, and H.D.I. Abarbanel, Phys. Rev. Lett. 81, 5692 (1998).
22. A.N. Pisarchik, R. Meucci, and F.T. Arecchi, Eur. Phys. J. D 13, 385 (2001).
23. I. Leyva, E. Allaria, S. Boccaletti, and F.T. Arecchi, Chaos 14, 118 (2004).
24. Z. Zheng, G. Huand, and B. Hu, Phys. Rev. Lett. 81, 5318 (1998).
25. R. Breban and E. Ott, Phys. Rev. E 65, 056219 (2002).
26. R. McAllister, R. Meucci, D. DeShazer, and R. Roy, Phys. Rev. E 67, 015202(R) (2003).