Synchronization in populations of globally coupled oscillators with inertial effects

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

Volumn 62, Issue 3 A, 2000, Pages 3437-3454

  Acebron J A ^a,b   Bonilla, L L ^a   Spigler, R ^b  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b ROMA TRE UNIVERSITY   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; SYNCHRONIZATION; WHITE NOISE;

GLOBALLY COUPLED PHASE OSCILLATORS;

OSCILLATORS (ELECTRONIC);

EID: 0034272217     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.3437     Document Type: Article

References (27)

1. S.H. Strogatz, in Lectures Notes in Biomathematics (Springer, Berlin, 1994), Vol. 100.
2. A.T. Winfree, The Geometry of Biological Time (Springer, New York, 1980).
3. C.J. Pérez Vicente, A. Arenas, and L.L. Bonilla, J. Phys. A 29, L9 (1996).
4. Y. Kuramoto, in International Symposium on Mathematical Problems in Theoretical Physics, edited by H. Araki, Lecture Notes in Physics Vol. 39 (Springer, Berlin, 1975); Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).
5. Y. Kuramoto, in International Symposium on Mathematical Problems in Theoretical Physics, edited by H. Araki, Lecture Notes in Physics Vol. 39 (Springer, Berlin, 1975); Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).
6. H. Sakaguchi, Prog. Theor. Phys. 79, 39 (1988).
7. B. Ermentrout, J. Math. Biol. 29, 571 (1991).
8. H. Tanaka, A.J. Lichtenberg, and S. Oishi, Physica D 100, 279 (1997); Phys. Rev. Lett. 78, 2104 (1997).
9. H. Tanaka, A.J. Lichtenberg, and S. Oishi, Physica D 100, 279 (1997); Phys. Rev. Lett. 78, 2104 (1997).
10. J.A. Acebrón and R. Spigler, Phys. Rev. Lett. 81, 2229 (1998).
11. F.M.A. Salam, J.E. Marsden, and P.P. Varaiya, IEEE Trans. CAS 32, 784 (1983).
12. T. Konishi and K. Kaneko, J. Phys. A 25, 6283 (1992).
13. K. Wiesenfeld, P. Colet, and S.H. Strogatz, Phys. Rev. Lett. 76, 404 (1996).
14. K. Park and M.Y. Choi, Phys. Rev. B 56, 387 (1997).
15. T. Van Duzer and C.W. Turner, Superconductive Devices and Circuits (Prentice Hall, Upper Saddle River, NJ, 1999).
16. L.L. Bonilla, J. Stat. Phys. 46, 659 (1987).
17. S.H. Strogatz and R.E. Mirollo, J. Stat. Phys. 63, 613 (1991).
18. L.L. Bonilla, J.C. Neu, and R. Spigler, J. Stat. Phys. 67, 313 (1992).
19. J.D. Crawford, J. Stat. Phys. 74, 1047 (1994).
20. L.L. Bonilla, C.J. Pérez Vicente, and R. Spigler, Physica D 113, 79 (1998).
21. J.A. Acebrón and L.L. Bonilla, Physica D 114, 296 (1998).
22. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, corrected and enlarged ed., 4th printing (Academic, London, 1980).
23. Handbook of Mathematical Functions, edited by M. Abramowitz and I.A. Stegun (Dover, New York, 1972).
24. N. Temme, Special Functions. An Introduction to the Classical Functions of Mathematical Physics (Wiley, New York, 1996).
25. F.G. Tricomi, Funzioni Ipergeometriche Confluenti (Cremonese, Roma, 1954); Math. Z. 53, 136 (1950).
26. F.G. Tricomi, Funzioni Ipergeometriche Confluenti (Cremonese, Roma, 1954); Math. Z. 53, 136 (1950).
27. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1989).