Extraction of delay information from chaotic time series based on information entropy

✍ Scribed by Yu-Chu Tian; Furong Gao

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 452 KB
• Volume: 108
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)82008-8

✦ Synopsis

Using information entropy and embedding methods for reconstructing chaotic attractors, a technique for estimating time delay from experimental time data is proposed for chaotic systems governed by a delay differential equation. The effectiveness of the proposed approach is demonstrated with numerical experiments with and without measurement noise. The quantization effect on information entropy is also discussed. The number of quantization levels is found not to effect the accuracy of the proposed delay extraction technique significantly.