| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1889131 | Chaos, Solitons & Fractals | 2009 | 6 Pages |
Abstract
The dynamics of a novel chaotic system are studied, and a rigorous computer-assisted proof for existence of horseshoe in this system is given. A Poincaré section is properly chosen to obtain the Poincaré map, which is proved to be semi-conjugate to the 4-shift map by utilizing topological horseshoe theory. This implies the entropy of the system is no less than log 4, and the system definitely exhibits chaos.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Wen-Juan Wu, Zeng-Qiang Chen, Zhu-Zhi Yuan,