---

Prog. Theor. Phys. Supplement No.161 (2006) pp. 156-160

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

Masayuki Ataka^1,2 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 July 1, 2005)

Abstract:

We study an infinite assembly of integrate and fire oscillators with global delta-function like pulse-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?PTPS/161/156/
DOI : 10.1143/PTPS.161.156

[ Full Text PDF : FREE ACCESS (321K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

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. A. T. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1980).
4. C. S. Peskin, Mathematical Aspects of Heart Physiology (Courant Institute of Mathematical Sciences, New York, 1975), p. 268.
5. R. E. Mirollo and S. H. Strogatz, SIAM J. Appl. Math. 50 (1990), 1645.
6. Y. Kuramoto, Physica D 50 (1991), 15[CrossRef].
7. S. Bottani, Phys. Rev. E 54 (1996), 2334[APS].
8. V. Kirk and E. Stone, Phys. Lett. A 232 (1997), 70[CrossRef].
9. U. Ernst, K. Pawelzik and T. Geisel, Phys. Rev. E 57 (1998), 2150[APS].
10. S. Coombes and P. C. Bressloff, Phys. Rev. E 60 (1999), 2086[APS].
11. M. Ataka and T. Ohta, Prog. Theor. Phys. 113 (2005), 55[PTP].

---

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.