One-dimensional "turbulence" in a discrete lattice

Chaos

Volumn 13, Issue 2, 2003, Pages 624-636

  Daumont, Isabelle ^a   Peyrard, Michel ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1642398110     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1530991     Document Type: Article

References (23)

1. I. Daumont, T. Dombre, and J. L. Gilson, Phys. Rev. E 62, 3592-3610 (2000); for an introduction to shell models, see T. Bohr, M. H. Jensen, G. Paladin, and A. Vulpiani, Dynamical Systems Approach to Turbulence and Extended Systems (Cambridge University Press, Cambridge, 1998).
2. I. Daumont, T. Dombre, and J. L. Gilson, Phys. Rev. E 62, 3592-3610 (2000); for an introduction to shell models, see T. Bohr, M. H. Jensen, G. Paladin, and A. Vulpiani, Dynamical Systems Approach to Turbulence and Extended Systems (Cambridge University Press, Cambridge, 1998).
3. Y. S. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198-3205 (1992).
4. A. I. D'yachenko, V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan'kov, Sov. Phys. JETP 69, 1144-1147 (1989).
5. R. S. MacKay and S. Aubry, Nonlinearity 7, 1623-1643 (1994).
6. P. J. Zandberg and D. Dijkstra, Annu. Rev. Fluid Mech. 19, 465-491 (1987).
7. J. F. Pinton, P. C. W. Holdsworth, and R. Labbé, Phys. Rev. E 60, R2452-R2455 (1999).
8. S. T. Bramwell, P. C. W. Holdsworth, and J. F. Pinton, Nature (London) 396, 552-554 (1998); S. T. Bramwell, K. Christensen, J.-Y. Fortin, P. C. W. Holdsworth, H. J. Jensen, S. Lise, J. M. López, M. Nicodemi, J. F. Pinton, and M. Sellitto, Phys. Rev. Lett. 84, 3744-3747 (2000).
9. S. T. Bramwell, P. C. W. Holdsworth, and J. F. Pinton, Nature (London) 396, 552-554 (1998); S. T. Bramwell, K. Christensen, J.-Y. Fortin, P. C. W. Holdsworth, H. J. Jensen, S. Lise, J. M. López, M. Nicodemi, J. F. Pinton, and M. Sellitto, Phys. Rev. Lett. 84, 3744-3747 (2000).
10. S. T. Bramwell, J.-Y. Fortin, P. C. W. Holdsworth, S. Peysson, J.-F. Pinton, B. Portelli, and M. Sellitto, Phys. Rev. E 63, 041106 (2001).
11. T. Dauxois and M. Peyrard, Phys. Rev. Lett. 70, 3935-3938 (1993).
12. F. Chilla, J.-F. Pinton, and R. Labb, Europhys. Lett. 35, 271-276 (1996).
13. I. Daumont, T. Dauxois, and M. Peyrard, Nonlinearity 10, 617-630 (1997).
14. M. Remoissenet, Phys. Rev. B 33, 2386-2392 (1986).
15. R. K. Dodd, H. C. Morris, J. C. Eilbeck, and J. D. Gibbon, Solitons and Nonlinear Wave Equations (Academic, New York, 1984).
16. Yu. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763-916 (1989).
17. T. Dauxois and M. Peyrard, Phys. Rev. Lett. 70, 3935-3938 (1993).
18. O. Bang and M. Peyrard, Phys. Rev. E 53, 4143-4152 (1996).
19. C. Beck, G. S. Lewis, and H. L. Swinney, Phys. Rev. E 63, 035303(R) (2001).
20. C. Beck, Physica A 277, 115 (2000).
21. C. Beck, Phys. Rev. Lett. 87, 180601 (2001).
22. T. S. Lundgren, Phys. Fluids 25, 2193-2203 (1982).
23. T. S. Lundgren, Phys. Fluids A 5, 1472-1483 (1993).