Hierarchical cluster structures in a one-dimensional swarm oscillator model

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

Volumn 81, Issue 4, 2010, Pages

  Iwasa, Masatomo ^a   Iida, Kazuki ^a,b   Tanaka, Dan ^a,c  

^a NAGOYA UNIVERSITY   (Japan)

^b UNIVERSITY OF FUKUI   (Japan)

^c JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTER PATTERNS; FINAL STATE; HIERARCHICAL CLUSTERS; OSCILLATOR MODEL; STABLE CONFIGURATION;

OSCILLATORS (MECHANICAL);

EID: 77951712377     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.046220     Document Type: Article

References (34)

1. T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 75, 1226 (1995). 10.1103/PhysRevLett.75.1226
2. A. Czirok, M. Vicsek, and S. Vicsek, Physica A 264, 299 (1999). 10.1016/S0378-4371(98)00468-3
3. A. S. Mikhailov and D. H. Zanette, Phys. Rev. E 60, 4571 (1999). 10.1103/PhysRevE.60.4571
4. A. Czirok and T. Vicsek, Physica A 281, 17 (2000). 10.1016/S0378-4371(00) 00013-3
5. C. Huepe and M. Aldana, Phys. Rev. Lett. 92, 168701 (2004). 10.1103/PhysRevLett.92.168701
6. G. Gregoire and H. Chate, Phys. Rev. Lett. 92, 025702 (2004). 10.1103/PhysRevLett.92.025702
7. G. Baglietto and E. V. Albano, Phys. Rev. E 78, 021125 (2008). 10.1103/PhysRevE.78.021125
8. C. Huepe and M. Aldana, Physica A 387, 2809 (2008). 10.1016/j.physa.2008. 01.081
9. U. Erdmann, W. Ebeling, and V. S. Anishchenko, Phys. Rev. E 65, 061106 (2002). 10.1103/PhysRevE.65.061106
10. A. Chetverikov and J. Dunkel, Eur. Phys. J. B 35, 239 (2003). 10.1140/epjb/e2003-00274-4
11. U. Erdmann, W. Ebeling, and A. S. Mikhailov, Phys. Rev. E 71, 051904 (2005). 10.1103/PhysRevE.71.051904
12. Y. Chuang, M. R. D'Orsogna, D. Marthaler, A. L. Bertozzi, and L. S. Chayes, Physica D 232, 33 (2007). 10.1016/j.physd.2007.05.007
13. J. Strefler, U. Erdmann, and L. Schimansky-Geier, Phys. Rev. E 78, 031927 (2008). 10.1103/PhysRevE.78.031927
14. Y. X. Li, R. Lukeman, and L. Edelstein-Keshet, Physica D 237, 699 (2008). 10.1016/j.physd.2007.10.009
15. N. Shimoyama, K. Sugawara, T. Mizuguchi, Y. Hayakawa, and M. Sano, Phys. Rev. Lett. 76, 3870 (1996). 10.1103/PhysRevLett.76.3870
16. H. Levine, W. J. Rappel, and I. Cohen, Phys. Rev. E 63, 017101 (2000). 10.1103/PhysRevE.63.017101
17. V. Gazi and K. M. Passino, IEEE Trans. Autom. Control 48, 692 (2003). 10.1109/TAC.2003.809765
18. D. H. Zanette and A. S. Mikhailov, Physica D 194, 203 (2004). 10.1016/j.physd.2004.03.002
19. M. R. D'Orsogna, Y. L. Chuang, A. L. Bertozzi, and L. S. Chayes, Phys. Rev. Lett. 96, 104302 (2006). 10.1103/PhysRevLett.96.104302
20. T. Shibata and K. Kaneko, Physica D 181, 197 (2003). 10.1016/S0167- 2789(03)00101-5
21. A. Parravano and L. M. Reyes, Phys. Rev. E 78, 026120 (2008). 10.1103/PhysRevE.78.026120
22. D. Tanaka, Phys. Rev. Lett. 99, 134103 (2007). 10.1103/PhysRevLett.99. 134103
23. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
24. Y. Kuramoto, Prog. Theor. Phys. 94, 321 (1995). 10.1143/PTP.94.321
25. S. H. Strogatz, Physica D 143, 1 (2000). 10.1016/S0167-2789(00)00094-4
26. J. A. Acebrón, L. L. Bonilla, C. J. Pérez Vicente, F. Ritort, and R. Spigler, Rev. Mod. Phys. 77, 137 (2005). 10.1103/RevModPhys.77. 137
27. H. Sakaguchi, S. Shinomoto, and Y. Kuramoto, Prog. Theor. Phys. 79, 1069 (1988). 10.1143/PTP.79.1069
28. P. J. Kim, T. W. Ko, H. Jeong, and H. T. Moon, Phys. Rev. E 70, 065201 (R) (2004). 10.1103/PhysRevE.70.065201
29. T. Aoki and T. Aoyagi, Phys. Rev. Lett. 102, 034101 (2009). 10.1103/PhysRevLett.102.034101
30. M. Iwasa and D. Tanaka (unpublished).
31. J. Lehn, Science 295, 2400 (2002). 10.1126/science.1071063
32. G. Bein, Lect. Notes Comput. Sci. 3342, 1 (2005). 10.1007/b105069
33. A. Ishiguro and M. Shimizu, Lect. Notes Comput. Sci. 4850, 144 (2007). 10.1007/978-3-540-77296-5-14
34. M. Grunze, Nature (London) 454, 585 (2008). 10.1038/454585a