Adaptive frequency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators

Physical Review Letters

Volumn 81, Issue 11, 1998, Pages 2229-2232

  Acebron J A ^a,b   Spigler, R ^a  

^a ROMA TRE UNIVERSITY   (Italy)

^b UNIVERSIDAD CARLOS III DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; OSCILLATORS (MECHANICAL); PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY DENSITY FUNCTION; SYNCHRONIZATION; THERMODYNAMICS; WHITE NOISE;

FREQUENCY DISTRIBUTION; INERTIAL EFFECTS; LANGEVIN EQUATIONS; NONLINEAR OSCILLATORS; PHASE DISTRIBUTION;

NONLINEAR SYSTEMS;

EID: 0032516972     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.81.2229     Document Type: Article

References (13)

1. B. Ermentrout: J. Math Biol., 29:571 (1991).
2. C. J. Pérez Vicente, A. Arenas, and L. L. Bonilla: J. Phys. A, 29:L9 (1996).
3. A. T. Winfree: The Geometry of Biological Time (Springer-Verlag, New York, 1980).
4. S. H. Strogatz: in Frontiers in Mathematical Biology, Lecture Notes in Biomathematics Vol. 100 (Springer-Verlag, Berlin, 1994).
5. Y. Kuramoto: in International Symposium on Mathematical Problems in Theoretical Physics, H. Araki, Lecture Notes in Physics Vol. 39 (Springer-Verlag, Berlin, 1975);
6. Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, Berlin, 1984).
7. H. Sakaguchi: Prog. Theor. Phys., 79:39 (1988).
8. J. A. Acebrón and R. Spigler: (to be published).
9. F. M. A. Salam, J. E. Marsden, and P. P. Varaiya: IEEE Trans. CAS, 32:784 (1983).
10. T. Konishi and K. Kaneko: J. Phys. A, 25:6283 (1992).
11. K. Y. Tsang, R. E. Mirollo, S. H. Strogatz, and K. Wiesenfeld: Physica (Amsterdam), 48D:102 (1991).
12. K. Wiesenfeld, P. Colet, and S. H. Strogatz: Phys. Rev. Lett., 76:404 (1996).
13. H. Tanaka, A. J. Lichtenberg, and S. Oishi: Physica (Amsterdam), 100D:279 (1997).