Delay-induced synchronization phenomena in an array of globally coupled logistic maps

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

Volumn 67, Issue 5 2, 2003, Pages

  Marti A C ^a   Masoller, C ^a  

^a INSTITUTO DE FÍSICA   (Uruguay)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; MATHEMATICAL MODELS; SYNCHRONIZATION;

COUPLED LOGISTIC MAPS; GLOBAL SYNCHRONIZATION;

STATISTICAL MECHANICS;

EID: 42749106019     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. A.S. Pikovsky, M.G. Rosenblum, and J. Kurths, Synchronization-A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
2. S. Boccaletti, J. Kurths, G. Osipov, D.L. Valladares, and C.S. Zhou, Phys. Rep. 366, 1 (2002).
3. K. Kaneko, Phys. Rev. Lett. 63, 219 (1989).
4. K. Kaneko, Physica D 41, 137 (1990).
5. A. Pikovsky, O. Popovych, and Y. Maistrenko, Phys. Rev. Lett. 87, 044102 (2001).
6. O. Popovych, A. Pikovsky, and Yu. Maistrenko, Physica D 168-169, 106 (2002).
7. J. Garcia-Ojalvo, J. Casademont, C.R. Mirasso, M.C. Torrent, and J.M. Sancho, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 2225 (1999).
8. G. Kozyreff, A.G. Vladimirov, and P. Mandel, Phys. Rev. Lett. 85, 3809 (2000).
9. Y. Jiang, Phys. Lett. A 267, 342 (2000).
10. P. Parmananda, M. Hildenbrand, and M. Eiswirth, Phys. Rev. E 56, 239 (1997).
11. P.M. Gade, Phys. Rev. E 57, 7309 (1998).
12. D.H. Zanette, Phys. Rev. E 62, 3167 (2000).
13. S.O. Jeong, T.W. Kao, and H.T. Moon, Phys. Rev. Lett. 89, 154104 (2002).
14. C. Masoller, A.C. Martí, and D. Zanette (unpublished).
15. A. Hastings, Ecology 74, 1362 (1993).
16. B. Blasius, A. Huppert, and L. Stone, Nature (London) 399, 354 (1999).
17. D.J.D. Earn, S.A. Levin, and P. Rohani, Science (Washington, DC, U.S.) 290, 1360 (2000).