Self-sustained target waves in excitable media with only a long-range link |
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| Authors: | Qian Yu Wang Can-Jun Shi Hu-Shan Mi Yuan-Yuan and Huang Xiao-Dong |
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| Affiliation: | Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China;Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China;Department of Physics and Information Technology, Baoji University of Arts and Sciences, Baoji 721007, China;Department of Physics, Beijing Normal University, Beijing 100875, China;Department of Physics, Beijing Normal University, Beijing 100875, China |
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| 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. |
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| Keywords: | self-sustained target waves long-range link one-dimensional Winfree-loop |
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