NUMERICAL EXPERIMENT OF LORENZ MODEL WITH DIRECT DIFFERENCE SCHEME

Authors
Citation
Sc. Ouyang et Y. Lin, NUMERICAL EXPERIMENT OF LORENZ MODEL WITH DIRECT DIFFERENCE SCHEME, Kybernetes, 27(6-7), 1998, pp. 674-690
Citations number
7
Categorie Soggetti
Computer Science Cybernetics","Computer Science Cybernetics
Journal title
ISSN journal
0368492X
Volume
27
Issue
6-7
Year of publication
1998
Pages
674 - 690
Database
ISI
SICI code
0368-492X(1998)27:6-7<674:NEOLMW>2.0.ZU;2-P
Abstract
In this paper, some issues about model formulation and solving methods for the Lorenz's model are discussed, which also deals with fundament al characteristics of nonlinear models. Mainly, there existed problems that Lorenz's model was formulated based on the weak nonlinear, and s pectral expansion which changed the fundamental properties of prototyp e oi the N-S equations. Furthermore, its solving methods, which are ba sed on continuously smoothing schemes, not only distorted the fundamen tal characteristics of non-linear models, but also led to misunderstan ding of the concept of ''chaos'', which has already caused confusion t o people's way of thinking. In essence, Lorenz's ''chaos'' is an ''err or volute'' which is trapped into ''calculation of error values''. Whe ther it can be named ''chaos'' may need to be discussed with questions .