Self-sustained target waves in excitable media with only a long-range link

doi:10.1088/1674-1056/20/10/108201

Abstract In this paper we investigate spatiotemporal pattern formation in excitable media with only a long-range link. Besides the trivial solutions of spiral patterns, we find the asymptotic self-sustained target waves in the autonomous tissues. The wave source supporting this kind of new pattern is the oscillatory one-dimensional Winfree-loop self-organized under the presence of a long-range link, which is explored by the dominant phase-advanced driving method. Based on this understanding we can effectively regulate the oscillations of excitable media by suitably arranging the long-range link, including construction of self-sustained target waves with controllable period and wave length, or manipulation of system states between different patterns.

Keywords: self-sustained target waves long-range link one-dimensional Winfree-loop

Received: 14 January 2011
Revised: 22 April 2011
Accepted manuscript online:

PACS:	82.40.Ck	(Pattern formation in reactions with diffusion, flow and heat transfer)
	05.65.+b	(Self-organized systems)
	89.75.Hc	(Networks and genealogical trees)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11047146), the Science Foundation of the Education Bureau of Shaanxi Province of China (Grant No. 11JK0544), the Natural Science Foundation of Shaanxi Province of China (Grant No. 2010JQ1014), and the Science Foundation of Baoji University of Arts and Sciences (Grant Nos. ZK1048 and ZK1049).

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Qian Yu(钱郁), Wang Can-Jun(王参军), Shi Hu-Shan(石虎山), Mi Yuan-Yuan(弭元元), and Huang Xiao-Dong(黄晓东) Self-sustained target waves in excitable media with only a long-range link 2011 Chin. Phys. B 20 108201

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[1]	The influence of long-range links on spiral waves and its application for control Qian Yu (钱郁). Chin. Phys. B, 2012, 21(8): 088201.

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Self-sustained target waves in excitable media with only a long-range link

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