Synchronization in the Kuramoto model: A dynamical gradient network approach

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

Volumn 77, Issue 2, 2008, Pages

  Chen, Maoyin ^a,b   Shang, Yun ^c   Zou, Yong ^b   Kurths, Jürgen ^b  

^a TSINGHUA UNIVERSITY   (China)

^b UNIVERSITY OF POTSDAM   (Germany)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DYNAMICAL SYSTEMS; DYNAMICS; MATHEMATICAL MODELS; OSCILLATORS (ELECTRONIC);

DYNAMICAL GRADIENT NETWORK; KURAMOTO MODELS;

SYNCHRONIZATION;

EID: 40549138108     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.027101     Document Type: Article

References (25)

1. R. Albert and A. L. Barabasi, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002);
2. S. Boccaletti, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006).
3. A. Pikovsky, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001);
4. S. Boccaletti, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0 366, 1 (2002).
5. J. Acebron, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.137 77, 137 (2005);
6. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).
7. S. H. Strogatz, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00094-4 143, 1 (2000).
8. Q. Ren and J. Zhao, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76. 016207 76, 016207 (2007).
9. J. Ren and H. Yang, e-print arXiv:cond-mat/0703232v2.
10. Y. Moreno and A. F. Pacheco, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10238-x 68, 603 (2004);
11. A. Arenas, A. Diaz-Guilera, and C. J. Perez-Vicente, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.114102 96, 114102 (2006).
12. J. Gomez-Gardenes, Y. Moreno, and A. Arenas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.034101 98, 034101 (2007).
13. M. Timme, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.224101 98, 224101 (2007).
14. C. Zhou and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.164102 96, 164102 (2006).
15. C. Zhou, A. E. Motter, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.034101 96, 034101 (2006);
16. D. U. Hwang, M. Chavez, A. Amann, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.138701 94, 138701 (2005).
17. X. Wang, Y. Lai, and C. Lai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.056205 75, 056205 (2007).
18. F. Radicchi and H. Meyer-Ortmanns, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.026203 74, 026203 (2006).
19. Y. L. Maistrenko, B. Lysyansky, C. Hauptmann, O. Burylko, and P. A. Tass, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.066207 75, 066207 (2007).
20. K. Park, Y. C. Lai, L. Zhao, and N. Ye, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.065105 71, 065105 (R) (2005).
21. Z. Toroczkai and K. E. Bassler, Nature (London) NATUAS 0028-0836 10.1038/428716a 428, 716 (2004);
22. Z. Toroczkai, e-print arXiv:cond-mat/0408262.
23. R. Nuccitelli, in Pattern Formation: A Primer in Developmental Biology, edited by, G. M. Malacinski, (MacMillan, New York, 1984), p. 23.
24. A.-L. Barabasi and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
25. M. E. J. Newman and D. J. Watts, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00757-4 263, 341 (1999).