1. The discontinuity problem and “chaos” of Lorenz’s model

Emerald - 1998
SouchengOuYang1, YongWu2, YiLin3, ChaoLi1
1Chengdu Institute of Meterorology, Chengdu, The People’s Republic of China
2Fuling Soil Bureau, Sichuan, The People’s Republic of China
3Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania, USA

Tóm tắt

The discontinuity problem of general non‐linear evolutionary equations and the chaos of complex models of poly‐order are studied. The concept of “blown‐up” of Navier‐Stokes equation is discussed, which was introduced by OuYang in 1994 and 1995. The results show that the blown‐up of the model appears during the whole evolution of general non‐linear equations; and that the concept of “chaos” of Lorenz’s model should be restudied questioningly.

Từ khóa


Tài liệu tham khảo

10.1002/cpa.3160050202

10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2

OuYang S.C., 1994, The ``Break-off'' of Moving Fluids and Some Problems of Weather Forecasting (in Chinese)

OuYang S.C., 1995, Applied Mathematics and Mechanics, 16, 252

OuYang S.C., J. Chengdu Meteo, 112

10.1175/1520-0469(1962)019<0329:FAFCAA>2.0.CO;2

Thom R., 1972, Structurelle et MorphogeneÁse

Wu X.M., 1990, The Pansystems View of the World (in Chinese)