| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1890951 | Chaos, Solitons & Fractals | 2007 | 10 Pages |
Abstract
In the present paper, a new chaotic system is considered, which is a three-dimensional quadratic system and exhibits two 1-scroll chaotic attractors simultaneously with only three equilibria for some parameters. The existence of Si'lnikov homoclinic orbits in this system has been proven by using the undetermined coefficient method. As a result, the Si'lnikov criterion guarantees that the system has Smale horseshoes. Moreover, the geometric structures of attractors are determined by these homoclinic orbits.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Yongxin Jiang, Jianhua Sun,