|
|
|
Elimination of spiral waves and spatiotemporal chaos by the synchronization transmission technology of network signals |
| Zhang Qing-Ling(张庆灵)a), Lü Ling(吕翎) a)b)† , and Zhang Yi(张翼)a)c) |
| a Institute of System Science, Northeastern University, Shenyang 110004, China; b College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China; c College of Science, Shenyang University of Technology, Shenyang 110870, China |
|
|
|
|
Abstract A method to eliminate spiral waves and spatiotemporal chaos by using the synchronization transmission technology of network signals is proposed in this paper. The character of the spiral waves and the spatiotemporal chaos in the Fitzhugh—Nagumo model is presented. The network error evolution equation with spatiotemporal variables and the corresponding eigenvalue equation are determined based on the stability theory, and the global synchronization condition is obtained. Simulations are made in a complex network with Fitzhugh—Nagumo models as the nodes to verify the effectiveness of the synchronization transmission principle of the network signal.
|
Received: 27 March 2011
Revised: 13 May 2011
Accepted manuscript online:
|
|
PACS:
|
05.45.Xt
|
(Synchronization; coupled oscillators)
|
| |
05.45.Pq
|
(Numerical simulations of chaotic systems)
|
|
Cite this article:
Zhang Qing-Ling(张庆灵), Lü Ling(吕翎), and Zhang Yi(张翼) Elimination of spiral waves and spatiotemporal chaos by the synchronization transmission technology of network signals 2011 Chin. Phys. B 20 090514
|
| [1] |
Karma A 1993 Phys. Rev. Lett. 71 1103
|
| [2] |
Sinha S, Pande A and Pandit R 2001 Phys. Rev. Lett. 86 3678
|
| [3] |
Zhang H, Hu B and Hu G 2003 Phys. Rev. E 68 026134
|
| [4] |
Zhang C X, Zhang H, Ouyang Q, Hu B and Gunaratne G H 2003 Phys. Rev. E 68 036202
|
| [5] |
Zhang H, Ruan X S, Hu B and Ouyang Q 2004 Phys. Rev. E 70 016212
|
| [6] |
Naknaimueang S, Allen M A and Müller S C 2006 Phys. Rev. E 74 066209
|
| [7] |
Zhan M and Kapral R 2006 Phys. Rev. E 73 026224
|
| [8] |
Gao J Z, Yang S X, Xie L L and Gao J H 2011 Chin. Phys. B 20 030505
|
| [9] |
Zhong M and Tang G N 2010 Acta Phys. Sin. 59 1593 (in Chinese)
|
| [10] |
Martens E A, Laing C R and Strogatz S H 2010 Phys. Rev. Lett. 104 044101
|
| [11] |
Hildebrand M, Bär M and Eiswirth M 1995 Phys. Rev. Lett. 75 1503
|
| [12] |
Nicolis G and Prigogine I 1977 Self-organization in Nonequilibrium System (New York: Wiley)
|
| 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
|
|
|
