|
|
Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression |
Wang Xing-Yuan(王兴元)† and Zhang Na(张娜) |
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China |
|
|
Abstract Coupled map lattices are taken as examples to study the synchronisation of spatiotemporal chaotic systems. First, a generalised synchronisation of two coupled map lattices is realised through selecting an appropriate feedback function and appropriate range of feedback parameter. Based on this method we use the phase compression method to extend the range of the parameter. So, we integrate the feedback control method with the phase compression method to implement the generalised synchronisation and obtain an exact range of feedback parameter. This technique is simple to implement in practice. Numerical simulations show the effectiveness and the feasibility of the proposed program.
|
Received: 09 March 2010
Revised: 25 March 2010
Accepted manuscript online:
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Doctoral Program Foundation of Institution of Higher Education of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165). |
Cite this article:
Wang Xing-Yuan(王兴元) and Zhang Na(张娜) Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression 2010 Chin. Phys. B 19 090504
|
[1] |
Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
|
[2] |
Carroll T L and Pecora L M 1991 IEEE Trans. on Circuits Systems 38 453
|
[3] |
Guo H J, Yin Y W and Wang H M 2008 Chin. Phys. B 17 1652
|
[4] |
Qi W and Wang Y H 2009 Chin. Phys. B 18 1404
|
[5] |
Wang X Y, Gulzila A and Wang M J 2008 J. Dyn. Control 6 40
|
[6] |
Zhang H G, Ma D Z, Wang Z S and Feng J 2010 Acta. Phys. Sin. bf 59 147 (in Chinese)
|
[7] |
Kapral R 1985 Phys. Rev. A 31 3868
|
[8] |
Jiang Y 1998 Phys. Lett. A 240 60
|
[9] |
Xie F G and Hu G 1996 Phys. Rev. E 53 4439
|
[10] |
Yin X H, Ren Y and Shan X M 2002 Chaos, Solitons and Fractals 14 1077
|
[11] |
Xue Y J and Yang S Y 2003 Chaos, Solitons and Fractals 17 967
|
[12] |
Alexander A and Uzrich P 2008 Phys. Rev. E 77 016201
|
[13] |
Gong X F, Chen H and Li F L 1998 Phys. Lett. A 237 217
|
[14] |
Liu Z H, Chen S G and Hu B 1999 Phys. Rev. E 59 2817
|
[15] |
L"u L, Li G and Chai Y 2008 Acta. Phys. Sin. 57 7517 (in Chinese)
|
[16] |
Kaneko K 1985 Prog. Theor. Phys. 74 1033
|
[17] |
Li Y and Zhang X 2006 Phys. Lett. A 357 209
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|