The analysis of complex behaviours of a novel three dimensional autonomous system |
| |
Authors: | Dong Gao-Gao Zheng Song Tian Li-Xin Du Rui-Jin and Sun Mei |
| |
Institution: | Research Center for Nonlinear Science, Faculty of Science, Jiangsu University, Zhenjiang 212013, China |
| |
Abstract: | This paper introduces a new three dimensional autonomous system with five equilibrium points. It demonstrates complex chaotic behaviours within a wide range of parameters, which are described by phase portraits, Lyapunov exponents, frequency spectrum, etc. Analysis of the bifurcation and Poincaré map is used to reveal mechanisms of generating these complicated phenomena. The corresponding electronic circuits are designed, exhibiting experimental chaotic attractors in accord with numerical simulations. Since frequency spectrum analysis shows a broad frequency bandwidth, this system has perspective of potential applications in such engineering fields as secure communication. |
| |
Keywords: | three dimensional autonomous system chaotic attractor electronic circuit frequency spectrum |
本文献已被 CNKI 维普 等数据库收录! |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|