On the linear operation of cloned dynamical systems and its Lyapunov exponents
Chaotic Dynamics
2014-03-18 v2 Atmospheric and Oceanic Physics
Abstract
The cloned dynamical system theory is introduced and the Lyapunov exponents of this system are qualitatively proven to be same as the original dynamical system. This property indicates that these two systems have the same error propagation speed in the phase space, and thus we can interpret the phenomenon as why the ensemble mean method sometimes is not effective.
Keywords
Cite
@article{arxiv.1311.2239,
title = {On the linear operation of cloned dynamical systems and its Lyapunov exponents},
author = {Pengfei Wang},
journal= {arXiv preprint arXiv:1311.2239},
year = {2014}
}