Evidence for directed percolation universality at the onset of spatiotemporal intermittency in coupled circle maps

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

Volumn 67, Issue 5 2, 2003, Pages

  Janaki, T M ^a   Sinha, Sudeshna ^a   Gupte, Neelima ^b  

^a INSTITUTE OF MATHEMATICAL SCIENCES   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; MATHEMATICAL MODELS; PERCOLATION (SOLID STATE); SOLITONS;

COUPLED MAP LATTICES; SPATIOTEMPORAL INTERMITTENCY;

SOLID STATE PHYSICS;

EID: 42749098203     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. Theory and Applications of Coupled Map Lattices, edited by K. Kaneko (Wiley, New York, 1993), and references therein.
2. Specifically, the critical scaling behavior of CMLs has been investigated in papers such as: J. M. Houlrik et al., Phys. Rev. A 41, 4210 (1990)
3. O. Moriyama and M. Matsushita, J. Phys. Soc. Jpn. 65, 3478 (1996).
4. This type of STI is known as the type-I STI in the literature.
5. Y. Pomeau, Physica D 23, 3 (1986).
6. P. Grassberger, Z. Phys. B: Condens. Matter 47, 365 (1982)
7. H. Hinrichsen, e-print cond-mat/0001070 and references therein.
8. I. Jensen, J. Phys. A 29, 7013 (1996)
9. I. Jensen and R. Dickman, Phys. Rev. E 58, 1710 (1993)
10. J. F. F. Mendes et al., J. Phys. A 27, 3019 (1994)
11. M. A. Munoz et al., J. Stat. Phys. 91, 541 (1998)
12. M. A. Munoz et al., Phys. Rev. E 56, 5101 (1997).
13. P. Grassberger et al., Phys. Rev. E 55, 2488 (1997).
14. H. Chate and P. Manneville, Physica D 32, 409 (1988).
15. J. Rolf, T. Bohr, and M. H. Jensen, Phys. Rev. E 57, R2503 (1998).
16. T. Bohr et al., Phys. Rev. Lett. 86, 5482 (2001).
17. P. Grassberger and T. Schreiber, Physica D 50, 177 (1991).
18. S. Ciliberto and P. Bigazzi, Phys. Rev. Lett. 60, 286 (1988)
19. F. Daviaud, M. Dubois, and P. Berge, Europhys. Lett. 9, 441 (1989).
20. M. Rabaud, S. Michalland, and Y. Couder, Phys. Rev. Lett. 64, 184 (1990)
21. S. Michalland and M. Rabaud, Physica D 61, 197 (1992).
22. P. Rupp, R. Richter, and I. Rehberg, e-print cond-mat/0201308.
23. N. Chatterjee and N. Gupte, Phys. Rev. E 53, 4457 (1996).
24. P. Bak et al., Solid State Commun. 51, 231 (1984)
25. K. Wiesenfeld and P. Hadley, Phys. Rev. Lett. 62, 1335 (1989).
26. G. R. Pradhan, N. Chatterjee, and N. Gupte, Phys. Rev. E 65, 046227 (2002).
27. G. R. Pradhan and N. Gupte, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 2501 (2001).
28. c for both values of k beyond the range in the displayed figures. However, the departures from monotonicity are much milder than those seen in Ref. [10].
29. J. M. Houlrik and M. H. Jensen, Phys. Lett. A 163, 275 (1992).