6. Numerical experiment of Lorenz model with direct difference scheme

Kybernetes

Volumn 27, Issue 6-7, 1998, Pages 674-690

  OuYang, Shoucheng ^a   Lin, Yi ^b  

^a DPR Lab   (China)

^b SLIPPERY ROCK UNIVERSITY   (United States)

Author keywords

Blown up; Chaos; Simplification

Indexed keywords

CHAOS THEORY; NAVIER STOKES EQUATIONS; NONLINEAR SYSTEMS;

BLOWN-UP; DIFFERENCE SCHEMES; FUNDAMENTAL CHARACTERISTICS; FUNDAMENTAL PROPERTIES; MODEL FORMULATION; NUMERICAL EXPERIMENTS; SIMPLIFICATION; SPECTRAL EXPANSIONS;

NONLINEAR EQUATIONS;

EID: 0041192963     PISSN: 0368492X     EISSN: None     Source Type: Journal    
DOI: 10.1108/03684929810223085     Document Type: Article

References (9)

1. Li, T.Y. and Yorke, J.A. (1975), "Period three implies chaos", Am. Math. Monthly, Vol. 82, pp. 985-92.
2. Lorenz, E.N. (1963), "Deterministric nonperiodic flow", J. Atmos. Sci., Vol. 20, pp 130-41.
3. Miao, D.S. (1993), About Chaos Theory, Press of China People's University, Beijing.
4. OuYang, S.C. (1994), The "Break-off" of Moving Fluids and Some Problems of Weather Forecasting (in Chinese), Press of Chengdu University of Science and Technology, Chengdu.
5. OuYang, S.C. (1995), "The pansystems view of prediction and blown-up of fluids", Applied Mathematics and Mechanics, Vol. 16 No. 3, pp. 252-62.
6. OuYang, S.C., Wu, Y., Lin, Y. and Li, C. (1998), "The discontinuity problem and "chaos" of Lorenz's model", chapter 1 in this issue.
7. OuYang, S.C. et al. (1990), "Relational problems of steady solution of Lorenz's equations", J. Chengdu Meteo. Institute, pp. 112-14.
8. Wu, Y. (1998), "Blown-ups: a leap from specified local confusions to a general whole evolution", chapter 3 in this issue.
9. Yang, Z.N. (1989), A Collection of Lectures by Yang Zhenning, Press of Nankai University, Nanking, pp. 398-9.