Extension of Lorenz Unpredictability
Chaotic Dynamics
2015-10-28 v1
Abstract
It is found that Lorenz systems can be unidirectionally coupled such that the chaos expands from the drive system. This is true if the response system is not chaotic, but admits a global attractor, an equilibrium or a cycle. The extension of sensitivity and period-doubling cascade are theoretically proved, and the appearance of cyclic chaos as well as intermittency in interconnected Lorenz systems are demonstrated. A possible connection of our results with the global weather unpredictability is provided.
Cite
@article{arxiv.1509.01054,
title = {Extension of Lorenz Unpredictability},
author = {Marat Akhmet and Mehmet Onur Fen},
journal= {arXiv preprint arXiv:1509.01054},
year = {2015}
}
Comments
32 pages, 13 figures