Noise-induced breakdown of coherent collective motion in swarms

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 4, 1999, Pages 4571-4575

  Mikhailov, Alexander S ^a   Zanette, Damián H ^b  

^a FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

^b CENTRO ATÓMICO BARILOCHE   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ANIMAL BEHAVIOR; KINETICS; POPULATION MIGRATION; STATISTICAL MODEL; TIME;

ANIMAL MIGRATION; ANIMALS; BEHAVIOR, ANIMAL; KINETICS; MODELS, STATISTICAL; TIME FACTORS;

EID: 0033215698     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.4571     Document Type: Article

References (31)

1. M. Dupeyrat and E. Nakache, Bioelectrochem. Bioenerg. 5, 134 (1987).
2. D. R. Williams and P. G. de Gennes, Europhys. Lett. 24, 311 (1993).
3. A. S. Mikhailov and D. Meinköhn, in Stochastic Dynamics, edited by L. Schimansky-Geyer and Th. Pöschel (Springer, Berlin, 1997), p. 334.
4. I. Durand, P. Jönson, Ch. Misbah, A. Valance, and K. Kassner, Phys. Rev. E 56, 3776 (1997).
5. S. Camalet, F. Jülicher, and J. Prost, Phys. Rev. Lett. 82, 1590 (1999).
6. Biological Motion, edited by W. Alt and G. Hoffmann (Springer, Berlin, 1990).
7. W. Alt, J. Math. Biol. 9, 147 (1980)
8. W. AltBioSystems 34, 11 (1995).
9. A. Huth and Ch. Wissel, J. Theor. Biol. 156, 365 (1992).
10. M. Schienbein and H. Gruler, Bull. Math. Biol. 55, 585 (1993);H. Gruler, in Chaos and Complexity, edited by J. Trân Thanh Vân et al. (Editions Frontieres, Gif-sur-Yvette, France, 1995), p. 173.
11. K. Krischer and A. S. Mikhailov, Phys. Rev. Lett. 73, 3165 (1994).
12. C. P. Schenk, M. Or-Guil, M. Bode, and H.-G. Purwins, Phys. Rev. Lett. 78, 3781 (1997).
13. M. Or-Guil, M. Bode, C. P. Schenk, and H.-G. Purwins, Phys. Rev. E 57, 6432 (1998).
14. C. P. Schenk, P. Schütz, M. Bode, and H.-G. Purwins, Phys. Rev. E 57, 6480 (1998).
15. C. Reynolds, Comput. Graph. 21, 25 (1987).
16. Z. Csahók and T. Vicsek, Phys. Rev. E 52, 5297 (1995).
17. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 75, 1226 (1995)
18. A. Czirók, H. E. Stanley, and T. Viscek, J. Phys. A 30, 1375 (1997).
19. J. Toner and Y. Tu, Phys. Rev. Lett. 75, 4326 (1995)
20. J. TonerY. TuPhys. Rev. E 58, 4828 (1998).
21. A. Czirók, A.-L. Barabási, and T. Vicsek, Phys. Rev. Lett. 82, 209 (1999).
22. M. J. Lighthill and G. B. Whitham, Proc. R. Soc. London, Ser. A 229, 281 (1955).
23. B.S. Kerner and P. Konhäuser, Phys. Rev. E 48, 2335 (1993).
24. L. Schimansky-Geier, M. Mieth, H. Rosé, and H. Malchow, Phys. Lett. A 207, 140 (1995)
25. F. Schweitzer, W. Ebeling, and B. Tilch, Phys. Rev. Lett. 80, 5044 (1998).
26. N. Shimoyama, K. Sugawara, T. Mizuguchi, Y. Hayakawa, and M. Sano, Phys. Rev. Lett. 76, 3870 (1996).
27. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984)
28. V. Hakim and W.-J. Rappel, Phys. Rev. A 46, 7347 (1992).
29. N. Nakagawa and Y. Kuramoto, Physica D 75, 74 (1994).
30. K. T. Alligood, T. D. Sauer, and J. A. Yorke, Chaos—An Introduction to Dynamical Systems (Springer, New York, 1997).
31. D. H. Zanette and A. S. Mikhailov, Phys. Rev. E 57, 276 (1998).