Roundoff-induced Coalescence of Chaotic Trajectories
chao-dyn
2009-10-28 v1 Condensed Matter
Chaotic Dynamics
Abstract
Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the process of synchronization as function of precision of calculations. Two generic behaviors of the average coalescence time are identified: exponential or linear. In both cases no synchronization occurs if iterations are done with {\em infinite} precision.
Cite
@article{arxiv.chao-dyn/9607017,
title = {Roundoff-induced Coalescence of Chaotic Trajectories},
author = {L. Longa and E. M. F. Curado and F. A. Oliveira},
journal= {arXiv preprint arXiv:chao-dyn/9607017},
year = {2009}
}
Comments
6 pages, 3 postscript figures, to be published in Phys. Rev. E