Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626807 | Applied Mathematics and Computation | 2015 | 8 Pages |
Abstract
In this paper, the global attractive sets of the simplified Lorenz system are studied according to Lyapunov stability theory. The method for constructing the Lyapunov functions that applied to the former chaotic systems does not work for the simplified Lorenz system. We overcome this difficulty by adding a cross term to the Lyapunov functions of the simplified Lorenz system.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fuchen Zhang, Yonglu Shu,