HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 113 (2005) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 113 No. 1 (2005) pp. 55-62

[ Full Text PDF : FREE ACCESS (427K) ]

Anomalous Synchronization of Integrate-and-Fire Oscillators with Global Coupling

Masayuki Ataka1,2 and Takao Ohta2

1Department of Mathematical and Life Sciences, Graduate School of Science,
Hiroshima University, Higashi-Hiroshima 739-8526, Japan
2Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

(Received November 16, 2004)

Abstract:

We study an infinite assembly of integrate and fire oscillators with global coupling. Numerical simulations reveal that the time required for the mutual synchrony of all the oscillators exhibits singular behavior as a function of the interaction strength. The origin of this anomalous synchronization is elucidated by a theoretical analysis.


URL : http://ptp.ipap.jp/link?PTP/113/55/
DOI : 10.1143/PTP.113.55

[ Full Text PDF : FREE ACCESS (427K) ] Citation:

References:

  1. A. Pikovsky, M. Rosenblum and J. Kurths, Synchronization: A universal concept in nonlinear sciences (Cambridge university press, 2001).
  2. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer-Verlag, Berlin, 1984).
  3. P. Stange, A. S. Mikhailov and B. Hess, J. Phys. Chem. B 102 (1998), 6273[CrossRef].
  4. P. Stange, A. S. Mikhailov and B. Hess, J. Phys. Chem. B 103 (1999), 6111[CrossRef].
  5. H. M. Smith, Science 82 (1935), 151
  6. A. T. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1980).
  7. Y. Kuramoto, Lecture Notes in Physics, Vol. 39, ed. H. Araki (Springer-Verlag, Berlin, 1975), p. 420.
  8. A. T. Winfree, J. Theor. Biol. 16 (1967), 15.
  9. J. A. Acebron, L. L. Bonilla, C. J. Perez Vicente, F. Ritort and R. Spigler, Rev. Mod. Phys. (to appear).
  10. C. S. Peskin, Mathematical Aspects of Heart Physiology (Courant Institute of Mathematical Sciences, New York, 1975), p. 268.
  11. R. E. Mirollo and S. H. Strogatz, SIAM J. Appl. Math. 50 (1990), 1645.
  12. W. Garver and F. Moss, Sci. Amer. 269 (1993), 94.
  13. Y. Kuramoto, Physica D 50 (1991), 15[CrossRef].
  14. S. Bottani, Phys. Rev. E 54 (1996), 2334[APS].
  15. V. Kirk and E. Stone, Phys. Lett. A 232 (1997), 70[CrossRef].
  16. U. Ernst, K. Pawelzik and T. Geisel, Phys. Rev. E 57 (1998), 2150[APS].
  17. S. Coombes and P. C. Bressloff, Phys. Rev. E 60 (1999), 2086[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Supplement No.161 (2006) pp. 156-160 :
    Anomalous Synchronization of Integrate-and-Fire Oscillators with Global Coupling
    Masayuki Ataka and Takao Ohta

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.