๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Creating periodic orbits in chaotic systems

โœ Scribed by Kathryn Glass; Michael Renton; Kevin Judd; Alistair Mees

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
714 KB
Volume
203
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Detecting unstable periodic orbits embed
Detecting unstable periodic orbits embedded in chaotic systems using the simplex method
โœ Chyun-Chau Fuh ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 133 KB

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

Stabilizing unstable periodic orbits of
Stabilizing unstable periodic orbits of chaotic systems via an optimal principle
โœ Yu-Ping Tian; Xinghuo Yu ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 159 KB

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

Chaotic diffusion on periodic orbits and
Chaotic diffusion on periodic orbits and uniformity
โœ Itzhack Dana; Vladislav E Chernov ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 190 KB

Chaotic di usion on periodic orbits (POs) is studied for the perturbed Arnol'd cat map, exhibiting a transition from uniform to nonuniform hyperbolicity as the perturbation parameter is increased. The results for the di usion coe cient from PO formulas agree very well with those obtained by standard

Periodic orbits and chaotic-diffusion pr
Periodic orbits and chaotic-diffusion probability distributions
โœ Itzhack Dana; Vladislav E Chernov ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

Periodic-orbit (PO) formulas for chaotic-di usion probability distributions (PDs) are examined in the case of the perturbed Arnol'd cat map on the cylinder. This translationally invariant system exhibits a transition from uniform to nonuniform hyperbolicity as the perturbation parameter is increased