Phase clustering and collective behaviors in globally coupled map lattices due to mean field effects

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 10, Issue 4, 2000, Pages 829-833

  Maza, D ^a   Boccaletti, S ^a   Mancini, H ^a  

^a UNIVERSITY OF NAVARRA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004608850     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127400000591     Document Type: Article

References (16)

1. Boccaletti, S., Farini, A. & Arecchi, F. T. [1997] "Adaptive synchronization of chaos for secure communication," Phys. Rev. E55, 4979-4981.
2. Cuomo, K. M. & Oppenheim, A. V. [1993] "Circuit implementation of synchronized chaos with applications to communication," Phys. Rev. Lett. 71, 65-68.
3. De San Roman, F. S., Boccaletti, S., Maza, D. & Mancini, H. L. [1998] "Weak synchronization of chaotic coupled map lattices," Phys. Rev. Lett. 81, 3639-3642; see also the Erratum, Phys. Rev. Lett. 82, p. 674.
4. Gershenfeld, N. & Grinstein, G. [1995] "Entrainment and communication with dissipative pseudo-random dynamics," Phys. Rev. Lett. 74, 5024-5027.
5. Hayes, S., Grebogi, C., Ott, E. & Mark, A. [1994] "Experimental control of chaos for communication," Phys. Rev. Lett. 73, 1781-1784.
6. Heagy, J. F., Pecora, L. M. & Carroll, T. L. [1995] "Short wavelength bifurcation and size instability in coupled oscillator systems," Phys. Rev. Lett. 74, 4185-4188.
7. Kocarev, Lj. & Parlitz, U. [1995] "General approach for chaotic synchronization with applications to communication," Phys. Rev. Lett. 74, 5028-5031.
8. Kocarev, Lj. & Parlitz, U. [1996] "Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems," Phys. Rev. Lett. 76, 1816-1819.
9. Pecora, L. M. & Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
10. Peng, J. H., Ding, E. J., Ding, M. & Yang, W. [1996] "Synchronizating hyperchaos with a scalar transmitted signal," Phys. Rev. Lett. 76, 904-907.
11. Rosa, E. Jr., Ott, E. & Hess, M. H. [1998] "Transition to phase synchronization of chaos," Phys. Rev. Lett. 80, 1642-1645.
12. Rosenblum, M. G., Pikovsky, A. S. & Kurths, J. [1996] "Phase synchronization of chaotic oscillators," Phys. Rev. Lett. 76, 1804-1807.
13. Rosenblum, M. G., Pikovsky, A. S. & Kurths, J. [1997] "From phase to lag synchronization in coupled chaotic oscillators," Phys. Rev. Lett. 78, 4193-4196.
14. Rulkov, N. F., Sushchik, M. M., Tsimring, L. S. & Abarbanel, H. D. I. [1995] "Generalized synchronization of chaos in directionally coupled chaotic systems," Phys. Rev. E51, 980-994.
15. Strogatz, S. H., Mirollo, S. E. & Matthews, P. C. [1992] "Coupled nonlinear oscillator below the synchronization threshold: Relaxation be generalized landau damping," Phys. Rev. Lett. 68, 2730-2733.
16. Zanette, D. H. [1997] "Dynamics of globally coupled bistable elements," Phys. Rev. E55, 5315-5320.