| Topological Constraints on Scroll and Spiral Waves in Excitable Media |
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| 引用本文： | 张宏 胡斑比 李炳伟 段一士. Topological Constraints on Scroll and Spiral Waves in Excitable Media[J]. 中国物理快报, 2007, 24(6): 1618-1621 |
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| 作者姓名： | 张宏 胡斑比 李炳伟 段一士 |
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| 作者单位： | [1]Zhefiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027 [2]Department of Physics, and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear＇and Complex-S~ystems （Hong Kong）, Hong Kong Baptist University, Hong Kong [3]Department of Physics, University of Houston, Houston, TX 77204-5005, USA [4]Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10675099, the Hong Kong Research Council （RGC）, and the Hong Kong Baptist University Faculty Research Fund （FRG）. |
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| 摘 要： | A conservation equation for topological charges of phase singularities （scroll and spiral waves） in excitable media is given. It provides some topological properties of scroll （spiral） waves： for example, the topological charge of the generated or annihilated spiral pair must be opposite. Additionally, we obtain another equation on scroll waves, which shows that singular filaments of scroll waves occur on a set of one-dimensional curves which may be either closed loops or infinite lines.
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| 关 键 词： | 螺旋波纹 拓扑 约束条件 波谱 |
| 收稿时间： | 2006-09-05 |
| 修稿时间： | 2006-09-05 |
Topological Constraints on Scroll and Spiral Waves in Excitable Mediac |
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| ZHANG Hong,HU Bambi,LI Bing-Wei,DUAN Yi-Shi. Topological Constraints on Scroll and Spiral Waves in Excitable Mediac[J]. Chinese Physics Letters, 2007, 24(6): 1618-1621 |
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| Authors: | ZHANG Hong HU Bambi LI Bing-Wei DUAN Yi-Shi |
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| Affiliation: | 1 Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027 2 Department of Physics, and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (Hong Kong |
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| Abstract: | A conservation equation for topological charges of phase singularities (scroll and spiral waves) in excitable media is given. It provides some topological properties of scroll (spiral) waves: for example, the topological charge of the generated or annihilated spiral pair must be opposite. Additionally, we obtain another equation on scroll waves, which shows that singular filaments of scroll waves occur on a set of one-dimensional curves which may be either closed loops or infinite lines. |
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| Keywords: | 47.54.-r 82.40.Ck |
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