Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
977021 | Physica A: Statistical Mechanics and its Applications | 2007 | 9 Pages |
Abstract
This paper studies the Lorenz-family system which is known to establish a topological connection among the Lorenz, Chen and Lu¨ systems in the parametric space. The existence of SËi'lnikov heterclinic orbits is proved using an undetermined coefficient method. As a consequence, the SËi'lnikov criterion along with some technical conditions guarantees that the Lorenz-family system has both Smale horseshoes and horseshoe type of chaos. It is this heteroclinic orbit that determines the geometric structure of the corresponding chaotic attractor.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Junwei Wang, Meichun Zhao, Yanbin Zhang, Xiaohua Xiong,