Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501635 | Journal of Differential Equations | 2005 | 22 Pages |
Abstract
In this paper, we provide some parameter values of the Lorenz system for which its flow is monotone with respect to the order induced by quadratic cones. This implies that its attractor is contained in a two-dimensional invariant manifold. An application of Dulac's criterion to the induced flow over that manifold leads to conditions under which every positive semiorbit converges to an equilibrium.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Luis A. Sanchez,