Abstract
We investigate numerically the periodic synchronization-desynchronization in driven phase oscillators with random driving amplitudes. The phase distribution, as well as the order parameter, for the synchronization is computed as the distribution of driving amplitudes is varied. The system is found to display synchronization followed by desynchronization in a periodic manner. Such periodic synchronization-desynchronization emerges when the driving amplitude distribution is appropriately broadened.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. T. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1980).
Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, Berlin, 1984).
Y. Kuramoto, in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by H. Araki (Springer-Verlag, New York, 1975); Y. Kuramoto and I. Nishikawa, J. Stat. Phys. 49, 569 (1987).
M. Y. Choi, Y. W. Kim and D. C. Hong, Phys. Rev. E 49, 3825 (1994).
H. Hong, M. Y. Choi, B. G. Yoon, K. Park and K. S. Soh, J. Phys. A 32, L9 (1999); H. Hong and M. Y. Choi, Phys. Rev. E 62, 6462 (2000).
H. Hong, M. Y. Choi, J. Yi and K. S. Soh, Phys. Rev. E 59, 353 (1999).
J. Choi, M. Y. Choi, M. S. Chung and B. G. Yoon, Int. J. Mod. Phys. B 27, 1350062 (2013).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Choi, J., Choi, M.Y. & Yoon, BG. Driving distributions and periodic synchronization-desynchronization in driven phase oscillators. Journal of the Korean Physical Society 64, 11–15 (2014). https://doi.org/10.3938/jkps.64.11
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.64.11