Rapid convergence of time-averaged frequency in phase synchronized systems
Statistical Mechanics
2009-11-10 v1 Chaotic Dynamics
Abstract
Numerical and experimental evidence is presented to show that many phase synchronized systems of non-identical chaotic oscillators, where the chaotic state is reached through a period-doubling cascade, show rapid convergence of the time-averaged frequency. The speed of convergence toward the natural frequency scales as the inverse of the measurement period. The results also suggest an explanation for why such chaotic oscillators can be phase synchronized.
Cite
@article{arxiv.cond-mat/0304485,
title = {Rapid convergence of time-averaged frequency in phase synchronized systems},
author = {Jörn Davidsen and István Z. Kiss and John L. Hudson and Raymond Kapral},
journal= {arXiv preprint arXiv:cond-mat/0304485},
year = {2009}
}
Comments
6 pages, 9 figures