|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Self-growing differential equations for hyperchaotic systems reconstruction by modified genetic programming in a novel non-Lyapunov approach | | Fei Gao
; Feng-Xia Fei
; Qian Xu
; Yan-Fang Deng
; Yi-Bo Qi
; | | Date: |
29 Jul 2012 | | Abstract: | Identification of chaotic system is of vital significance in controlling and
utilizing chaos. However, there exists a basic hypothesis in traditional
Lyapunov methods that the known data series coincide with definite forms of
chaotic differential equations except some uncertain parameters. Why what to be
estimated is the uncertain parameters instead of the unknown differential
equations’ forms of hyperchaotic systems? In this paper, a non-Lyapunov
approach is proposed to reconstruct the the differential equations of
hyperchaotic systems, with the equations self growing by genetic operations
ideas from a novel genetic programming. And the cases of identifying the
unknown parameters of hyperchaotic systems can be thought as special cases of
this chaos reconstruction methods. The problems of chaos reconstruction are
converted into a non-negative functions’ evaluation through a proper
translation, which finds best form of differential equations such that the
objective function is minimized. Simulations are done to reconstruct some
four-dimensional hyper-chaotic systems and their correspondent
three-dimensional famous chaos systems, such as Lor’{e}nz, Chen, L"{u}. The
experiments’ results show that the proposed self-growing mechanism of
differential equations with genetic operations is a successful methods for
hyperchaotic systems’ reconstruction, with the advantages of high precision and
robustness. And the proposed approach maintains an effective searching
mechanism with fine equilibrium between exploitation and exploration. | | Source: | arXiv, 1208.0048 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER