Synchronization of coupled oscillators in a local one-dimensional Kuramoto model

Acta Physica Polonica B, Proceedings Supplement

Volumn 3, Issue 2, 2010, Pages 453-462

  Ochab, J ^a   Gora P F ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED OSCILLATORS; CRITICAL COUPLING; DISCRETE SYSTEMS; EXACT CALCULATIONS; FINITE-SIZE SYSTEMS; KURAMOTO MODELS; LOWER BOUNDS; PHASE COHERENCE; PHASE-LOCKING; STABLE SOLUTIONS; WINDING NUMBER;

OSCILLATORS (MECHANICAL); SYNCHRONIZATION;

OSCILLATORS (ELECTRONIC);

EID: 78651584149     PISSN: 18992358     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (21)

1. C.S. Peskin, Mathematical Aspects of Heart Physiology, Courant Institute of Mathematical Sciences, New York 1975.
2. D.C. Michaels, E.P. Matyas, J. Jalife, Circulation Res. 61, 704 (1987).
3. A.K. Ghosh, B. Chance, E.K. Pye, Arch. Biochem. Biophys. 145, 319 (1971).
4. J. Aldridge, E.K. Pye, Nature 259, 670 (1976).
5. J. Buck, E. Buck, Scientific Am. 234, 74 (1976).
6. J. Buck, Quart. Rev. Biol. 63, 265 (1988).
7. Z. Jiang, M. McCall, J. Opt. Soc. Am. 10, 155 (1993).
8. S.Yu. Kourtchatov, V.V. Likhanskii, A.P. Napartovich, F.T. Arecchi, A. Lapucci, Phys. Rev. A52, 4098 (1995).
9. K. Wiesenfeld, P. Colet, S.H. Strogatz, Phys. Rev. Lett. 76, 404 (1996).
10. K. Wiesenfeld, P. Colet, S.H. Strogatz, Phys. Rev. E57, 1563 (1998).
11. Y. Kuramoto, in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, ed. H. Arakai, Lect. Notes Phys., Vol. 39, Springer, New York 1975, p. 420.
12. S.H. Strogatz, R.E. Mirollo, J. Phys. A 21, L699 (1988).
13. P. Muruganandam, F.F. Ferreira, H.F. El-Nashar, H.A. Cerdeira, Pramana, J. Phys. 70, 1143 (2008).
14. H.F. El-Nashar, P. Muruganandam, F.F. Ferreira, H.A. Cerdeira, Chaos 19, 013103 (2009).
15. A. Diaz-Guilera, A. Arenas, in Bio-Inspired Computing and Communication: First Workshop on Bio-Inspired Design of Networks, BIOWIRE 2007, Springer-Verlag, Cambridge 2008, p. 184-191.
16. D.A. Wiley, S.H. Strogatz, Chaos 16, 015103 (2006).
17. H. Daido, Phys. Rev. Lett. 61, 231 (1988).
18. J.J. Binney, N.J. Dowrick, A.J. Fisher, M.E.J. Newman, The Theory of Critical Phenomena: an Introduction to the Renormalization Group, Clarendon Press, Oxford 1992, p. 62-64.
19. G.H. Golub, C.F. Van Loan, Matrix Computations, Third ed., The Johns Hopkins Univ. Press, Baltimore 1996.
20. Z. Fortuna, B. Macukow, J. Wa̧sowski, Metody numeryczne, 5th ed., WNT, Warszawa 2001, p. 256 (in Polish).
21. J.A. Rogge, D. Ayeles, J. Phys. A 37, 11135 (2004).