Constructing a new chaotic system based on the S̆ilnikov criterion

✍ Scribed by Tianshou Zhou; Guanrong Chen; Qigui Yang

• Book ID: 104363445
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 204 KB
• Volume: 19
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00251-0

✦ Synopsis

Based on the S Silnikov criterion, a simple quadratic chaotic system is constructed, which has a single equilibrium point. The formation mechanism shows that this chaotic system has Smale horseshoes (homoclinic chaos), and numerical simulation demonstrates that there is a route to chaos through period-doubling bifurcations. In particular, the method of finding chaotic systems can be used to construct rather arbitrary chaotic attractors of even number of scrolls and arbitrary odd number of scrolls.