Synchronization of Chaotic Systems by Common Random Forcing
Chaotic Dynamics
2009-10-31 v1 Condensed Matter
Adaptation and Self-Organizing Systems
Abstract
We show two examples of noise--induced synchronization. We study a 1-d map and the Lorenz systems, both in the chaotic region. For each system we give numerical evidence that the addition of a (common) random noise, of large enough intensity, to different trajectories which start from different initial conditions, leads eventually to the perfect synchronization of the trajectories. The largest Lyapunov exponent becomes negative due to the presence of the noise terms.
Cite
@article{arxiv.nlin/0002054,
title = {Synchronization of Chaotic Systems by Common Random Forcing},
author = {R. Toral and C. R. Mirasso and E. Hernandez-Garcia and O. Piro},
journal= {arXiv preprint arXiv:nlin/0002054},
year = {2009}
}
Comments
5 pages, uses aipproc.cls and aipproc.sty (included). Five double figures are provided as ten separate gif files. Version with (large) postscript figures included available from http://www.imedea.uib.es/PhysDept/publicationsDB/date.html