Renormalization group for strongly coupled maps

Journal of Statistical Physics

Volumn 96, Issue 5-6, 1999, Pages 915-962

  Lemaître, Anaël ^a,b   Chaté, Hugues ^a,b  

^a ECOLE POLYTECHNIQUE   (France)

^b DIF   (France)

Author keywords

Coupled map lattice; Nontrivial collective behavior; Renormalization group; Spatiotemporal chaos

Indexed keywords

EID: 0033241706     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004603332295     Document Type: Article

References (28)

1. P. Collet and J. P. Eckmann, Iterated Maps of the Interval as Dynamical Systems (Birkhäuser, Boston, 1980).
2. See, e.g., P. Cvitanović (ed.), Universality in Chaos, 2nd ed., (Adam Bilger, Boston, 1989).
3. M. J. Feigenbaum, J. Stat. Phys. 19:25 (1978); 21:669 (1979); Physica D 7:16 (1983); P. Coullet and J. Tresser, J. Phys. C 5:25 (1978).
4. M. J. Feigenbaum, J. Stat. Phys. 19:25 (1978); 21:669 (1979); Physica D 7:16 (1983); P. Coullet and J. Tresser, J. Phys. C 5:25 (1978).
5. M. J. Feigenbaum, J. Stat. Phys. 19:25 (1978); 21:669 (1979); Physica D 7:16 (1983); P. Coullet and J. Tresser, J. Phys. C 5:25 (1978).
6. M. J. Feigenbaum, J. Stat. Phys. 19:25 (1978); 21:669 (1979); Physica D 7:16 (1983); P. Coullet and J. Tresser, J. Phys. C 5:25 (1978).
7. P. Collet, J. P. Eckmann and O. E. Lanford III, Commun. Math. Phys. 76:211-254 (1980).
8. N. Metropolis, M. L. Stein and P. R. Stein, J. Comb. Theory A 15:25 (1973).
9. B. Derride, A. Gervois, and Y. Pomeau, J. Phys. A 12:269 (1979).
10. See, e.g., K. Kaneko, Ed., Theory and Applications of Coupled Map Lattices, (Wiley, New York. 1993), and references therein.
11. S. P. Kuznetsov and A. S. Pikovsky, Physica D 19:384 (1986).
12. For a review, see: S. P. Kuznetsov, in 7 and references therein.
13. W. van der Water and T. Bohr. Chaos 3:747 (1993).
14. A. Lemaître and H. Chaté, Phys. Rev. Lett. 80:5528 (1998).
15. H. Chaté and P. Manneville, Prog. Theor. Phys. 87:1 (1992); Europhys. Lett. 17:291 (1992); H. Chaté and J. Losson, Physica D 103:51 (1997).
16. H. Chaté and P. Manneville, Prog. Theor. Phys. 87:1 (1992); Europhys. Lett. 17:291 (1992); H. Chaté and J. Losson, Physica D 103:51 (1997).
17. H. Chaté and P. Manneville, Prog. Theor. Phys. 87:1 (1992); Europhys. Lett. 17:291 (1992); H. Chaté and J. Losson, Physica D 103:51 (1997).
18. A. Lemaître and H. Chaté, Phase-ordering and onset of collective behavior in chaotic coupled map lattices, preprint. 1998.
19. P. Marcq, Ph.D. thesis, Université P. & M. Curie (1996); P. Marcq, H. Chaté, and P. Manneville, in preparation.
20. A. Lemaître and H. Chaté, unpublished.
21. A. Lemaître, Ph.D. Dissertation, École Polytechnique, 1998.
22. I. Dornic and C. Godrèche, J. Phys. A 31:5413 (1998), and references therein; D. Stauffer, J. Phys. A 27:5029 (1994).
23. I. Dornic and C. Godrèche, J. Phys. A 31:5413 (1998), and references therein; D. Stauffer, J. Phys. A 27:5029 (1994).
24. J. P. Crutchfield and B. A. Huberman, Phys. Lett. A 77:407 (1980); J. P. Crutchfield, M. Nauenberg and J. Rudnik. Phys. Rev. Lett. 46:933 (1981).
25. J. P. Crutchfield and B. A. Huberman, Phys. Lett. A 77:407 (1980); J. P. Crutchfield, M. Nauenberg and J. Rudnik. Phys. Rev. Lett. 46:933 (1981).
26. n, Commun. Math. Phys. 76:211-254 (1980).
27. See, e.g., J. Bricmont and A. Kupiainen. Comm. Math. Phys. 178:703 (1996); Physica D 103:18 (1997).
28. See, e.g., J. Bricmont and A. Kupiainen. Comm. Math. Phys. 178:703 (1996); Physica D 103:18 (1997).