A direct numerical method for quantifying regular and chaotic orbits

✍ Scribed by J. Awrejcewicz; L. Dzyubak; C. Grebogi

• Book ID: 104363359
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 295 KB
• Volume: 19
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00062-6

✦ Synopsis

Both a theoretical argument and a numerical algorithm to identify periodic and chaotic orbits are presented and discussed. Reliability of the approach is verified using the Duffing oscillator through the standard computation of Lyapunov exponents. Advantages of the proposed approach are given.