Strong-coupling limit in heterogeneous populations of coupled oscillators

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

Volumn 84, Issue 1, 2011, Pages

  Daido, Hiroaki ^a  

^a Osaka City University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION PARAMETER; COUPLED OSCILLATORS; COUPLING STRENGTHS; HETEROGENEOUS POPULATIONS; PARAMETER VALUES; PHASE-TRANSITION BOUNDARY; STRONG-COUPLING;

OSCILLATORS (MECHANICAL);

EID: 79961110311     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.016215     Document Type: Article

References (16)

1. A. T. Winfree, The Geometry of Biological Time (Springer, New York, 2001).
2. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).
3. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization-A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
4. S. H. Strogatz, C. M. Marcus, R. M. Westervelt, and R. E. Mirollo, Physica D PDNPDT 0167-2789 10.1016/0167-2789(89)90246-7 36, 23 (1989).
5. H. Daido and K. Nakanishi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.104101 93, 104101 (2004).
6. H. Daido and K. Nakanishi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.056206 75, 056206 (2007); (Pubitemid 47001018)
7. H. Daido and K. Nakanishi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.049901 76, 049901 (E) (2007). (Pubitemid 47631526)
8. H. Daido, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/84/10002 84, 10002 (2008).
9. D. Pazó and E. Montbrio, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.055202 73, 055202 (R) (2006). (Pubitemid 43829530)
10. G. Tanaka, Y. Okada, and K. Aihara, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.035202 82, 035202 (R) (2010).
11. H. Daido, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.026209 83, 026209 (2011).
12. Hereafter, the subscript "av" is used to stand for the average of a j -dependent quantity over all j, as in Eq.
13. Transitions reported here are of the same kind as those discussed in previous papers, since they are transitions between dynamic and quiescent states caused by changes of the distribution of bifurcation parameter values. Therefore, we use the same term, aging transitions, to refer to them.
14. G. Nicolis, Introduction to Nonlinear Science (Cambridge University Press, Cambridge, 1995).
15. S. Shinomoto and Y. Kuramoto, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.75.1105 75, 1105 (1986).
16. S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/35065725 410, 268 (2001). (Pubitemid 32216604)