5. The transformation group of branching solutions of Lorenz’s equations and “chaos”
Soucheng OuYang
(Chengdu Institute of Meteorology, Chengdu, The People’s Republic of China)
Yong Wu
(Fuling Soil Bureau, Sichuan, The People’s Republic of China)
120
Abstract
In this paper, the theory of groups is used in the discussion of the properties of branching solutions of Lorenz’s models with fixed constants. The result shows that the three branching solutions of Lorenz’s model with fixed constants can be connected together through the group {I, e}, and that if an orbit of Lorenz’s equation is given, there must exist another corresponding orbit through the group {I, e}. Just as the model is deterministic, so is the solution.
Keywords
Citation
OuYang, S. and Wu, Y. (1998), "5. The transformation group of branching solutions of Lorenz’s equations and “chaos”", Kybernetes, Vol. 27 No. 6/7, pp. 669-673. https://doi.org/10.1108/03684929810223076
Publisher
:MCB UP Ltd
Copyright © 1998, MCB UP Limited