Constructing a chaotic system based on the Silnikov theorem

ZHU Shuqin; YANG Miao; ZHANG Xianhua; MIN Lequan

doi:10.13374/j.issn1001-053x.2005.05.061

Volume 27 Issue 5

Aug. 2021

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Engineering > 2005 > 27(5): 635-637

ZHU Shuqin, YANG Miao, ZHANG Xianhua, MIN Lequan. Constructing a chaotic system based on the Silnikov theorem[J]. Chinese Journal of Engineering, 2005, 27(5): 635-637. doi: 10.13374/j.issn1001-053x.2005.05.061

Citation:

ZHU Shuqin, YANG Miao, ZHANG Xianhua, MIN Lequan. Constructing a chaotic system based on the Silnikov theorem[J]. Chinese Journal of Engineering, 2005, 27(5): 635-637. doi: 10.13374/j.issn1001-053x.2005.05.061

Citation:

PDF( 331 KB)

Constructing a chaotic system based on the Silnikov theorem

doi: 10.13374/j.issn1001-053x.2005.05.061

1. Applied Science School, University of Science and Technology Beijing, Beijing 100083, China;
2. Information Engineering School, University of Science and Technology Beijing, Beijing 100083, China

Received Date: 2004-09-10
Rev Recd Date: 2004-11-11

Available Online: 2021-08-17

Abstract

Abstract

Based on the Silnikov theorem, a theorem that confirmed the existence of Smale horseshoes sense chaos was set up. Using the theorem, a new kind of quadratic chaotic system could be constructed, which has a unique equilibrium point. A numerical simulation example demonstrated that this system could have chaotic attractor. In particular, the method could be used to generate other quadratic chaotic systems.
- homoclinic orbit,
- chaotic system,
- Silnikov theorem