Order parameter expansion and finite-size scaling study of coherent dynamics induced by quenched noise in the active rotator model

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

Volumn 82, Issue 5, 2010, Pages

  Komin, Niko ^a   Toral, Raúl ^a  

^a INSTITUTO DE FÍSICA INTERDISCIPLINAR Y SISTEMAS COMPLEJOS IFISC CSIC UIB   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; COHERENT DYNAMICS; CRITICAL EXPONENT; FINITE SIZE SCALING; FINITE-SIZE SCALING THEORY; NOISE INTENSITIES; NUMERICAL SIMULATION; ORDER PARAMETER; QUENCHED NOISE; SCALAR SYSTEMS; STATIC DISORDER;

DISTRIBUTION FUNCTIONS;

EID: 78651369869     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.051127     Document Type: Article

References (30)

1. J. Buceta, J. M. R. Parrondo, and F. J. de la Rubia, Phys. Rev. E 63, 031103 (2001). 10.1103/PhysRevE.63.031103
2. J. Buceta and K. Lindenberg, Phys. Rev. E 68, 011103 (2003). 10.1103/PhysRevE.68.011103
3. C. J. Tessone, C. R. Mirasso, R. Toral, and J. D. Gunton, Phys. Rev. Lett. 97, 194101 (2006). 10.1103/PhysRevLett.97.194101
4. C. J. Tessone, A. Scirè, R. Toral, and P. Colet, Phys. Rev. E 75, 016203 (2007). 10.1103/PhysRevE.75.016203
5. S. De Monte and F. d'Ovidio, Europhys. Lett. 58, 21 (2002). 10.1209/epl/i2002-00390-9
6. S. de Monte, F. d'Ovidio, and E. Mosekilde, Phys. Rev. Lett. 90, 054102 (2003). 10.1103/PhysRevLett.90.054102
7. S. de Monte, F. d'Ovidio, Hugues Chaté, and E. Mosekilde, Phys. Rev. Lett. 92, 254101 (2004). 10.1103/PhysRevLett.92.254101
8. S. De Monte, F. d'Ovidio, Hugues Chaté, and E. Mosekilde, Physica D 205, 25 (2005). 10.1016/j.physd.2005.04.020
9. I. Gomes Da Silva, S. De Monte, F. d'Ovidio, R. Toral, and C. R. Mirasso, Phys. Rev. E 73, 036203 (2006). 10.1103/PhysRevE.73.036203
10. N. Komin and R. Toral, Physica D 239, 1827 (2010). 10.1016/j.physd.2010. 06.006
11. S. Jevrejeva, J. C. Moore, and A. Grinsted, J. Geophys. Res. 108, 4677 (2003). 10.1029/2003JD003417
12. B. Bezruchko, V. Ponomarenk, M. G. Rosenblum, and A. S. Pikovsky, Chaos 13, 179 (2003). 10.1063/1.1518425
13. A. B. Neiman, D. F. Russell, T. A. Yakusheva, A. DiLullo, and P. A. Tass, Phys. Rev. E 76, 021908 (2007). 10.1103/PhysRevE.76.021908
14. O. V. Sosnovtseva, A. N. Pavlov, E. Mosekilde, and N.-H. Holstein-Rathlou, Phys. Rev. E 66, 061909 (2002). 10.1103/PhysRevE.66.061909
15. Y. Kuramoto, International Symposium on Mathematical Problems in Theoretical Physics, 1st ed., Lectures notes in Physics No. 30, edited by, H. Araki, (Springer, New York, 1975).
16. S. H. Strogatz, Physica D 143, 1 (2000). 10.1016/S0167-2789(00)00094-4
17. J. A. Acebrón, L. L. Bonilla, Conrad J.Pérez Vicente, F. Ritort, and R. Spigler, Rev. Mod. Phys. 77, 137 (2005). 10.1103/RevModPhys.77. 137
18. S. Shinomoto and Y. Kuramoto, Prog. Theor. Phys. 75, 1105 (1986). 10.1143/PTP.75.1105
19. C. Kurrer and K. Schulten, Phys. Rev. E 51, 6213 (1995). 10.1103/PhysRevE.51.6213
20. R. Toral, C. J. Tessone, and J. V. Lopes, Eur. Phys. J. Spec. Top. 143, 59 (2007). 10.1140/epjst/e2007-00071-5
21. E. Ott and T. M. Antonsen, Chaos: An Interdisciplinary Journal of Nonlinear Science 18, 037113 (2008). 10.1063/1.2930766
22. E. Ott and T. M. Antonsen, Chaos: An Interdisciplinary Journal of Nonlinear Science 19, 023117 (2009). 10.1063/1.3136851
23. L. F. Lafuerza, P. Colet, and R. Toral, Phys. Rev. Lett. 105, 084101 (2010). 10.1103/PhysRevLett.105.084101
24. T. Pérez, C. R. Mirasso, R. Toral, and J. D. Gunton, Phil. Trans. R. Soc. A 368, 5619 (2010). 10.1098/rsta.2010.0264
25. B. Lindner, J. Garcia-Ojalvo, A. Neiman, and L. Schimansky-Geier, Phys. Rep. 392, 321 (2004). 10.1016/j.physrep.2003.10.015
26. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence, 1st ed. (Springer, New York, 1984).
27. C. J. Tessone, D. H. Zanette, and R. Toral, Eur. Phys. J. B 62, 319 (2008). 10.1140/epjb/e2008-00162-5
28. G. B. Ermentrout and N. Kopell, SIAM J. Appl. Math. 46, 233 (1986). 10.1137/0146017
29. J. L. Cardy, Finite-Size Scaling (Elsevier Science, New York, 1988).
30. H. P. Deutsch, J. Stat. Phys. 67, 1039 (1992). 10.1007/BF01049009