Open AccessThe theoretical study of the turning period in numerical weather prediction models based on the Lorenz equations
Author(s) -
Chaojiu Da,
Shuai Mu,
DeShan Ma,
Yongxin Huo,
Hou Wei,
Zhiqiang Gong
Publication year - 2014
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.63.029201
Subject(s) - lorenz system , stability (learning theory) , turning point , equilibrium point , period (music) , path (computing) , lorenz curve , mathematics , physics , statistical physics , mechanics , mathematical analysis , computer science , differential equation , acoustics , gini coefficient , machine learning , attractor , economic inequality , inequality , programming language
Based on the Lorenz equations, the dynamics of the weather turning period is studied about numerical weather prediction. Through the analysis of the stability of equilibrium points of the Lorenz equations, we get the surfaces which separate the quasi-stable region and quasi-unstable region. In the quasi-stable region, the path curve of the Lorenz equations can remain relatively stable around the equilibrium points, however in the quasi-unstable region, the path curve of the Lorenz equations can spring from this equilibrium point to another one. This is one of the important dynamic characteristics of the Lorenz system, and the paper give new method and theory for the detection of the abrupt change of climate.