Open AccessOn the predictability of the Lorenz system
Author(s) -
Wenping He,
Guolin Feng,
Wenjie Dong,
Minglu Li
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.969
Subject(s) - predictability , lorenz system , gaussian , computer science , mathematics , statistical physics , statistics , physics , artificial intelligence , chaotic , quantum mechanics
Regarding Lorenz model as the forecast equationthis paper investigates the evolution of the number of particles falling into the predefined dynamic window and the average forecast weight X of the Lorenz system. Then we research preliminarily the predictability of the Lorenz system from another point of views, and the influence of the Gaussian white noises on the Lorenz system. The results show that the evolution of the number reflects the predictability of the Lorenz system to a certain extent. For initial value sets in different areas, there are different predictabilities of the Lorenz system, and we find that there are different influences on the Lorenz system from the Gaussian white noises.