𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Reconstruction of the Lorenz and Chen systems with noisy observations

✍ Scribed by Junan Lu; Jinhu Lü; Jin Xie; Guanrong Chen

Book ID
104352676
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
686 KB
Volume
46
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

This paper investigates the reconstruction problem for the Lorenz and Chen systems using noisy observation data. Both theoretical and numerical results show that the relatively accurate reconstruction of these two chaotic systems can be obtained under the condition of small random disturbance to the observations. These results also show that the model reconstruction accuracy can be enhanced by increasing the complexity of the underlying dynamical system.

📜 SIMILAR VOLUMES

Observations of invariant structures in
Observations of invariant structures in the chaotic response of lorenz and other systems
✍ Rong He; P.G. Vaidya 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 415 KB

A phase plane invariant of the Lorenz and other systems, undergoing chaos, has been presented. Numerical experiments show that this invariant is independent of the initial conditions and depends on the structure and parameters of the chaotic systems. There are some potential applications of this res