@inproceedings{8a0b74b5101f4e50bf7ab3e946313574,
title = "Stochastic Synchronization: Analogy with Systems Undergoing Phase Transition",
abstract = "A wide variety of natural oscillator systems undergo the process of synchronization, from lasers to fireflies and clapping in concert halls. The system we study is a two-dimensional network of FitzHugh-Nagumo oscillators with nearest-neighbor coupling in the presence of noise. We consider the case of both positive and negative coupling constants. As the coupling strength or noise intensity is varied, we connect neighboring sites in our system with a bond if the corresponding two oscillators lock their phases. As a result, we expect to establish an analogy between the synchronization in our system and percolation. We also study the analogy between the synchronization of our system and the phase transition towards the ferromagnetic and antiferromagnetic states, for positive and negative coupling constants, respectively. The unsolved problem is the understanding of the route towards synchronization undertaken by extended systems of oscillators, as the coupling strength or noise intensity is varied.",
author = "G. Bal{\'a}zsi and A. Ordemann and F. Moss",
note = "Publisher Copyright: {\textcopyright} 2003 American Institute of Physics.; 3rd International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology, and High Technology, UPoN 2002 ; Conference date: 03-09-2002 Through 06-09-2002",
year = "2003",
month = may,
day = "28",
doi = "10.1063/1.1584879",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
pages = "94--99",
editor = "Bezrukov, \{Sergey M.\}",
booktitle = "Unsolved Problems of Noise and Fluctuations, UPoN 2002",
}