A novel time-delayed control method is proposed for stabilizing inherent unstable periodic orbits (UPOs) in chaotic systems. Differing from the commonly used linear time-delayed feedback control form, we adopt an optimal control principle for the design of the time delayed feedback control. We explo
โฆ LIBER โฆ
Efficient Detection of Periodic Orbits in Chaotic Systems by Stabilizing Transformations
โ Scribed by Crofts, Jonathan J.; Davidchack, Ruslan L.
- Book ID
- 118190902
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2006
- Tongue
- English
- Weight
- 180 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1064-8275
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This paper proposes an approach for detecting unstable periodic orbits embedded in chaotic systems by using the simplex method. The simplex algorithm is easily implemented and does not require the derivatives of the function to be optimized. As a result, it is also applicable to chaotic systems with