Transient periodic rotating waves and fast propagation of synchronization in linear arrays of chaotic Systems

Physical Review Letters

Volumn 81, Issue 19, 1998, Pages 4124-4127

  Matias M A ^a   Guemez J ^b  

^a UNIVERSITY OF SALAMANCA   (Spain)

^b UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84855279141     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.81.4124     Document Type: Article

References (27)

1. H.Fujisaka and T.Yamada, Prog.Theor.Phys., 69, 32 (1983).
2. L.M.Pecora and T.L.Carroll, Phys.Rev.Lett., 64, 821 (1990);
3. L.M.Pecora, T.L.Carroll Phys.Rev.A, 44, 2374 (1991).
4. M.N.Lorenzo, I.P.Mariño, V.Pérez-Muñuzuri, M.A.Matías, and V.Pérez-Villar, Phys.Rev.E, 54, R3094 (1996).
5. E.Sánchez, M.A.Matías, and V.Pérez-Muñuzuri, IEEE Trans.Circuits Syst.I (to be published).
6. I.R.Epstein and M.Golubitsky, Chaos, 3, 1 (1993).
7. D.Armbruster and G.Dangelmayr, Math.Proc.Camb.Philos.Soc., 101, 167 (1987).
8. J.D.Crawford, J.P.Gollub, and D.Lane, Nonlinearity, 6, 119 (1993).
9. F.Simonelli and J.P.Gollub, J.Fluid Mech., 23, 341 (1991).
10. H.Fujii, M.Mimura, and Y.Nishiura, Physica (Amsterdam), 5D, 1 (1982).
11. J.D.Crawford, M.Golubitsky, M.G.M.Gomes, E.Knobloch, and I.Stewart, in Singularity Theory and its Applications (Springer, Berlin, 1991), Vol.2.
12. J.D.Crawford, Phys.Rev.Lett., 67, 441 (1991);
13. J.D.Crawford Physica (Amsterdam), 52D, 429 (1991).
14. M.A.Matías, V.Pérez-Muñuzuri, M.N.Lorenzo, I.P.Mariño, and V.Pérez-Villar, Phys.Rev.Lett., 78, 219 (1997).
15. E.Sánchez and M.A.Matías, Phys.Rev.E, 57, 6184 (1998).
16. T.Erneux and M.Herschkowitz-Kaufman, J.Chem.Phys., 66, 248 (1977).
17. J.F.G.Auchmuty, Ann.N.Y.Acad.Sci., 316, 263 (1979).
18. J.C.Alexander, SIAM J.Appl.Math., 46, 199 (1986).
19. J.F.Heagy, L.M.Pecora, and T.L.Carroll, Phys.Rev.Lett., 74, 4185 (1995).
20. E.N.Lorenz, J.Atmos.Sci., 20, 130 (1963).
21. J.Güémez and M.A.Matías, (a) Phys.Lett.A, 246, 289 (1998);
22. J.Güémez, M.A.Matías (b) Phys.Rev.E, 52, R2145 (1995).
23. I.Aranson, D.Golomb, and H.Sompolinsky, Phys.Rev.Lett., 68, 3495 (1992)
24. A.M.Turing, Philos.Trans.R.Soc.London B, 237, 37 (1952).
25. J.F.Heagy, T.L.Carroll, and L.M.Pecora, Phys.Rev.E, 50, 1874 (1994).
26. M.A.Matías, J.Güémez, V.Pérez-Muñuzuri, M.N.Lorenzo, I.P.Mariño, and V.Pérez-Villar, Europhys.Lett., 37, 379 (1997).
27. J.Güémez, C.Martín, and M.A.Matías, Phys.Rev.E, 55, 124 (1997).