Title :
The Stability and Chaos Analysis of the Lorenz-84 Atmosphere Model with Seasonal Forcing
Author :
Song, Yu ; Yu, Yongguang ; Wang, Hu
Author_Institution :
Dept. of Math., Beijing Jiaotong Univ., Beijing, China
Abstract :
In this paper, a low-dimensional atmosphere model with general circulation is researched. The model is the classical Lorenz-84 system combined with seasonal force. The stability and the chaotic behavior of the seasonal forcing model are studied. By means of the Lyapunov exponents, the bifurcation map, phase diagram and Poincare section, the dynamical behaviors of the system are described and various routes to chaotic behavior are also identified. It is shown that there exists chaos for the model in certain parameter area.
Keywords :
Lyapunov methods; atmospheric movements; atmospheric techniques; bifurcation; chaos; phase diagrams; Lorenz-84 atmosphere model; Lyapunov exponents; Poincare section; bifurcation map; chaos analysis; chaotic behavior; classical Lorenz-84 system; general circulation; low-dimensional atmosphere model; parameter area; phase diagram; seasonal forcing; seasonal forcing model; Analytical models; Atmospheric modeling; Bifurcation; Chaos; Educational institutions; Stability analysis; Poincare section; chaos; stability; the Lyapunov exponents;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.46
