Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model
Joint Authors
Wang, Hu
Wen, Guoguang
Yu, Yongguang
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-23
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The dynamical behaviors of the Lorenz-84 atmospheric circulation model are investigated based on qualitative theory and numerical simulations.
The stability and local bifurcation conditions of the Lorenz-84 atmospheric circulation model are obtained.
It is also shown that when the bifurcation parameter exceeds a critical value, the Hopf bifurcation occurs in this model.
Then, the conditions of the supercritical and subcritical bifurcation are derived through the normal form theory.
Finally, the chaotic behavior of the model is also discussed, the bifurcation diagrams and Lyapunov exponents spectrum for the corresponding parameter are obtained, and the parameter interval ranges of limit cycle and chaotic attractor are calculated in further.
Especially, a computer-assisted proof of the chaoticity of the model is presented by a topological horseshoe theory.
American Psychological Association (APA)
Wang, Hu& Yu, Yongguang& Wen, Guoguang. 2014. Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1039653
Modern Language Association (MLA)
Wang, Hu…[et al.]. Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model. Journal of Applied Mathematics No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1039653
American Medical Association (AMA)
Wang, Hu& Yu, Yongguang& Wen, Guoguang. Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1039653
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039653