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

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

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 108201-108201.doi: 10.1088/1674-1056/20/10/108201

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

石虎山¹, 弭元元², 黄晓东², 钱郁³, 王参军³

(1)Department of Physics and Information Technology, Baoji University of Arts and Sciences, Baoji 721007, China; (2)Department of Physics, Beijing Normal University, Beijing 100875, China; (3)Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China

收稿日期:2011-01-14 修回日期:2011-04-22 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
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).

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

Qian Yu(钱郁)^a)†, Wang Can-Jun(王参军)^a), Shi Hu-Shan(石虎山)^b), Mi Yuan-Yuan(弭元元)^c)‡, and Huang Xiao-Dong(黄晓东)^c)

^a Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China; ^b Department of Physics and Information Technology, Baoji University of Arts and Sciences, Baoji 721007, China; ^c Department of Physics, Beijing Normal University, Beijing 100875, China

Received:2011-01-14 Revised:2011-04-22 Online:2011-10-15 Published:2011-10-15
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: self-sustained target waves, long-range link, one-dimensional Winfree-loop

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.

Key words: self-sustained target waves, long-range link, one-dimensional Winfree-loop

中图分类号: (Pattern formation in reactions with diffusion, flow and heat transfer)

82.40.Ck

05.65.+b (Self-organized systems) 89.75.Hc (Networks and genealogical trees)

钱郁, 王参军, 石虎山, 弭元元, 黄晓东. Self-sustained target waves in excitable media with only a long-range link[J]. 中国物理B, 2011, 20(10): 108201-108201.

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[J]. Chin. Phys. B, 2011, 20(10): 108201-108201.

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

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

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