Topological Constraints on Scroll and Spiral Waves in Excitable Media  

作　　者：张宏 胡斑比 李炳伟 段一士 

机构地区：[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

出　　处：《Chinese Physics Letters》2007年第6期1618-1621,共4页中国物理快报（英文版）

基　　金：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）.

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.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.

关 键 词：ROTATING SPIRALS TURBULENCE DRIFT DYNAMICS MODEL RINGS 

分 类 号：O581[理学—物理]