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Topological Constraints on Scroll and Spiral Waves in Excitable Mediac |
| ZHANG Hong1,2,;HU Bambi 2,3;LI Bing-Wei1;DUAN Yi-Shi4 |
| 1Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 3100272Department of Physics, and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (Hong Kong), Hong Kong BaptistUniversity, Hong Kong3Department of Physics, University of Houston, Houston, TX 77204-5005, USA 4Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 |
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| Cite this article: |
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ZHANG Hong, HU Bambi, LI Bing-Wei et al 2007 Chin. Phys. Lett. 24 1618-1621 |
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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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47.54.-r
82.40.Ck
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Received: 05 September 2006
Published: 17 May 2007
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| PACS: |
47.54.-r
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(Pattern selection; pattern formation)
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82.40.Ck
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(Pattern formation in reactions with diffusion, flow and heat transfer)
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