| | |
| | |
Stat |
Members: 3645 Articles: 2'504'585 Articles rated: 2609
24 April 2024 |
|
| | | |
|
Article overview
| |
|
Multiple Attractor in Newton -Leipnik System, Peak to Peak dynamics and Chaos Control | Biswambhar Rakshit
; Papri Saha
; A. Roy Chowdhury
; | Date: |
7 Dec 2004 | Subject: | Chaotic Dynamics | nlin.CD | Abstract: | The chaotic properties of Newton-Leipnik system are discussed from the view point of strange attractors. Previously, two strange attractors of this system were illustrated which occured from two different initial conditions under the same parameter condition. It is found that above system also exhibits multiple attractors under different parameter values but same initial condition and we have shown the existence of three other strange attractors with varying dimensionality under different parametric conditions. The properties of these attractors are then analyzed on the basis of Lyapunov exponents, power spectra, recurrence analysis and peak-to-peak dynamics. The peak-to-peak dynamics relies on the low dimensionality of the chaotic attractor and allows to approximately model the system. Peak-to-peak plot along with return-time plot are then effectively used to solve the optimal control problem of the system which reverts the system to a periodic situation. | Source: | arXiv, nlin.CD/0501014 | 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:
| |